Only if you assume that the Seleucids are more amicable to Carthaginian Hegemony than Roman (because it apparently suits your desired result of the butterflying away of the monotheistic religions). Philip and Antiochus are just as likely to want to carve up Ptolemy and it's more than conceivable that Hannibal and his descendants could see that being against their new Mediterranean ambitions. Given that this wank needs Hannibal to be more a Caesar arriving a couple hundred years earlier, that's quite likely. In fact, the more I think of it, the more likely it is that a victorious Hannibal carves up the Celts and Gauls, if not the non-aligned Iberians and leads the... Punicization.... of Europe. By necessity, this will be different than the Romanization, but to a similar end result as far as the natives are concerned.
The Seleucids and the Carthaginians are to territorially distiant to be stepping on each other's toes. And Hannibal still has to make his arrangements in changing Carthaginian society. Something which would take longer than his own lifetime to achieve. At best, he can only secure southern Iberia, Sicily, Corsica, Sardinia, keep the Numdians from uniting. Hannibal likely won't have time to go gallivanting around Gaul. He would probably just send garrisons to protect the Hellenic colonies like Massalia on the southern coast, and maintain his hegemony over the city-states of Italy.
Replace the Romans (and Byzantines) with Carthaginians and an offshoot that is spawned when the migratory barbarian waves hit. Different... yet the same. If you leave the Seleucids prominent, like you appear to, their conflict with Persia (be it Parthian or Sassinid) is still eventually inevitable (especially if Antiochus maintains his aggressive Hellenization, he's likely to spark a Sassinid like counterreaction from the Persians just like he sparked the Jewish reaction) and their heirs stand in proxy for the Byzantines. We'll need to account for the intervening 700 to 800 years before it gets to that point.
You're confusing Antiochus III with Antiochus IV. And if He succeeds with the division of Ptolemaic territory with Phillip V of Macedonia, he'll have bought some time in crushing the native Persian uprisings in the eastern Satrapies.
Just because Antiochus III won at Panium, he still lost Raphia. You postulate that he continues undefeated and doesn't clash with Carthage (despite his tendency towards aggressive Hellenization, which would guarantee an eventual conflict with the victorious Hannibal). Instead of your inane destruction of Judaism, Christianity, and Islam, despite numerous opportunities for each to continue to exist... altered certainly and different from what we know today, both in their details and evolution, but certainly still viable. In any case, a successful Seleucid Empire is still going to eventually conflict with Persia, just like it did with it's other rivals. That makes it more likely.
Panium was won nineteen years after Raphia was lost. And in the wake of the Seleucid victory at Panium, Upper Egypt seceded from the Ptolemies under the native rulers Hugrunaphor and Ankmachis. While this may not exactly assure the future longevity of the Seleucid Empire, the next fifty years or so could probably entail the obliteration of Persian and Jewish uprisings and the marginalization of their cultures.
Still more unified than what was there before. They weren't unified against Rome. A less aggressive Carthage would, if anything, provoke less unity than Caesar saw. Germanic and Turkic migrations are still going to hit, stirring up the pot even further.
The rise of the Germanics and the arrival of the Turkics are centuries away. Plus, what specific outside forces provoked the Romans into becoming a powerful state? What led to the Persian and Hellenistic empires? The Gauls possessed the resources, the trade connections, a complex road system throughout northern and western Europe, and the unified religion, and were becoming increasingly urbanized since the Third Century BCE. Whats more, the Arverni tribe had achieved supremacy in Gaul until their defeat by the Romans in 120 BCE. If left unmolested, they could have gone further in the unification of the Immediate area of Gaul.
There could be... unlikely since we didn't see any evidence of this unity against the Romans - we saw one tribe played against another, we saw pagan Romans ally with some and grind others under their boots selling the survivors into slavery. This is a Carthage wank, remember? Not a Celt-wank. Make your own thread.
They had a similiarity in culture and religion, just as the Christian peoples of Medieval Europe had with each other. There is a difference between political unity and cultural unity. And Caesar was born in an era where his country was great superpower of the known world, while the traditional powers in Gaul were at each others throats, and were being pressured by Roman interference in the south, and steady Germanic expansion from the north. With Rome gone, this pressure is non-existant from the south. Also, the Germanics seemed to be emulating Celtic culture, examples being the powerful Cimbri-Teuton alliance that hammered the shit out of the Roman Army for six years leading up to the election of Gaius Marius as Consul. Biorix was a Celtic name, and he was the leader of the Cimbri.
And I'm not suggesting a fucking Celtic-wank, and just trying to make known the political situations in Europe and the Middle East that occured around the time of the Second Punic War, which is more than you've done.
Agreed, Definitely not. A Barcid, almost certainly Hannibal, undeniably comes to power given his victory. He could look to emulate some of his defeated Roman opposition, too. Punic city built on the ruins of Roma, ruled by Hasbrudbal? From there, chafing with former ally Philip of Macedon and eventually leading Hannibal "liberating" Greece from Macedonia and thus coming into conflict with Antiochus III...
While the Carthaginians may colonize Latium after the destruction of Rome, it won't become a powerful military complex overnight. The premise of this is a little presumptious. You're speaking of Carthage as dynamic military power when it based its expansion on economic gains. Its colonies were self-governing and based upon trade. If it was anything like Rome, then why didn't it conquer deep into Africa as well?
Every reason to believe that the migratory period still happens. Given this is a Carthage Wank, it should be Ba'al, Tanit, et al.
If a highly urbanized Celtic civilization through either military conquest, trade, or cultural influence, the Huns might find a different sort of civilization in eastern Europe. And you failed to account the OTL Dacians, whom demonstably urbanized and literate.
Given this thread, it should be Punic. From the Celtic perspective, doubtfully more agreeable than the imposed Roman "unity" though likely more subtle.
Like the Gauls in France, the Celtiberians were becoming increasingly urbanized as well, and therefore, would be a more immediate obstacle to Carthaginian expansion in Iberia.
At least you can admit it.

It's all academic to me, I neither respect nor disrespect them. You should remove your rose-colored glasses and look at it objectively. They lost their identity to the Romans and should lose it to Carthage given the purpose of this thread.
And you should get off your intellectual high-horse, and take your own advice. I only admit objecting to this "barbarians were too stupid and backward" crap.
You want to wipe them out for their own sake, despite enormous opportunites for them to still, though they're admittedly different. Instead of handwaving them away, extrapolate their differences. Christianity is still going to exist. Even if Antiochus is 100% successful (he was anything but, even before the conflict with Rome), he maybe causes a Jewish Disapora early and would have always kept Hellenized Jews in place. Someone like Jesus preaching against apostate Hellenized Jews is still likely to be crucified by a Seleucid Pontius Pilate.
Its not about "me want". The cultural and political circumstances caused by ATL Romes destruction in the Third Century BCE simply precludes their existence centuries after the fact. Antiochus III had some significant success in restoring stability to the empire after coming to the throne at eighteen. He did some some failures early on, but was so close to realizing his ambitions in the west, until Rome came along.
Christianity was founded by people whom lived during a time when the Roman annexation of Judea occured. Where would the impetus come from after Jerusalem is sacked and repopulated by Greeks?