Depends on which period and what you mean by 'fascistic'. Some points arguably yes, though a lot comes down to what you mean by fascistic.
Eh, not sure you can call an imperial state a true liberal republic. It was a republic of sorts.
"Liberal" is a "good" word in the USA, generally, unless one is a reactionary in which case it is a bad word, but either way we have a pretty vague usage of it. Fundamentally, it means a society based on the notion of universal rights in the abstract, rule of law, and property is deeply intertwined into the notions of right and wrong. Democratic norms are deemed the normal thing, except maybe in a state of emergency--such as a war.
The USA and the various French Republics are practically the definition of "liberal" in this sense. The notion that it is a good thing to be liberal in the strict sense is very much up in the air, and one reason for that is the evils you point to--which don't make France fascist.
The made up word "fascistic" which I've surely used a lot myself and don't object to is a lot vaguer, and by golly my point is that liberal societies often do have a lot of fascistic practices. And when there are enough of them, intense enough, normalized enough--that society may cease to be liberal and become actually fascist.
Except for Vichy this never happened to France while it was nominally republican, nor would I say any of the Napoleonic imperial periods were fascist; they were something older fashioned. Nor were the Bourbon absolutist periods fascist, they were older still, Old Regime in fact,
"Fascistic," meaning some factions acted in a fascist way and threatened to take over as fascists or pretend normal society was indistinguishable from fascist--yes. And yes to most liberal nations too; some might have been notably more scrupulous about staying away from that extreme, but you'll have to identify them and they will stand out as exemplary and unusual. The USA is the classic liberal regime, and we have had lots of terroristic authoritarianism with the sort of corporatist mysticism and racist crap that characterizes fascist regimes--without however going full on fascist, because the larger republic has always if imperfectly sheltered dissenters and at least haphazardly upheld their rights to dissent and call attention as best they were able to massive abuses and violations of liberal norms.
I think it is absurd to suggest France was less liberal for being an imperial and bigoted power. All the European Great Powers were imperialist--and the USA was in that game too, starting in the 1880s and going over decisively in the 1890s.
We had fewer colonies, and our biggest one in 1941 was scheduled for independence and was in process of divorce via scheduled development of autonomy leading toward full independence, when the Japanese invaded. The Philippines were indeed set free.
Nevertheless, we retained such ill gotten gains as say the Panama Canal zone for generations to come, held a vast territorial empire in the Pacific even after WWII, to this day hold some people subject to US law, in one case (American Samoa) we won't even clarify whether they actually are citizens or not--and Puerto Rico, as populous as Oklahoma or Connecticut and larger than dozens of US states, remains a subject territory too.
Imperialism, "justified" on frankly racist grounds, was just the norm for European societies in the early 20th century and the USA was no exception--and that does not even count our informal hegemony over Central America and a number of Caribbean nations such as Haiti. And Cuba, where we unilaterally claimed to legalize a "right" to intervene under the Platt Amendment.
I would also not call the US a liberal republic, though it was a republic of sorts too.
France though was a particularly nasty one with fascistic elements that did in fact in the right circumstances, a defeat in a world war(!), become a Fascist state for some time. My point being that with the right pressures France too could become a Fascist state itself in the interwar period, especially after WW1 if defeated. They did after all do so after being defeated in WW2 until the Allies returned the non-fascistic elements to power.
No, I don't think France was any kind of outlier.
If you want to argue France could go fascist, I agree--any liberal nation can. The USA can, Great Britain can, Australia can. So could modern Japan, or Sweden, or any country you care to name. It takes strong conditions though.
You are saying France is an especially likely nation to go fascist though, and one closer to it than most, and I think that part of the claim is just ridiculous.
Then you trot out as evidence--what the handpicked, supervised, coerced Vichy regime did under actual Nazi occupation?
Would you say Norway was fascistic because the Nazis could find Vidkun Quisling and purport to put him in power over Norway?
Certainly I'd agree there was more fascistic leaning among some people in France than the Nazis could scrape up in Norway. These were numerous and powerful people--yet, I think they never stood a very large chance of seizing power in France and getting away with it, or they would have tried, because these were indeed fascists. But they lacked the degree of traction in mass society, and the degree of acquiescence of the ruling circles, that the Nazis had in Germany or Mussolini had in Italy. Had they had that, they would have taken over.
Vichy does not count, because France was under coercion and constant direct control of a properly fascist regime. Certainly I hold the willing collaborators of Vichy to be individually fascists, and culpable for that. But these reactionary gentlemen were only able to realize their fantasies of purifying and ordering France about as lapdogs of the Nazis; they failed to ever do it on their own.
As a liberal republic, the French were guilty of many violations of liberal norms--just like all the other racist, imperialist, propertarian liberal republics and liberal parliamentary monarchies. The scale of French imperialism was surpassed only by Britain's empire; in its bigotry and brutality, it was quite normal and the Dutch, the Belgians, and in their day until they were shorn of their colonies in the Great War, Germans, had their own horrors. As did the British formal and informal possessions, and the US's too.
Imperialism and fascism have some relation but a liberal republic can in fact have empire--it just tends to present put up or shut up type challenges to the liberal norms; the empires cannot persist indefinitely without undermining the liberalism, which is why the liberal powers let them go--formally. We continue with informal hegemony and by golly, it undermines our liberal norms. And that is one reason we might go fascist in full someday, or France might, or Britain.