I mostly agree that the Alliances could/should stay mostly the same.
Austria-Hungary and Germany had a strong common ground in history and peoples, at least the Austrian part.
France and Russia are somewhat more complicated, because the French used and financed the Russians for their own ends. Nothing new for Nations, but something that can change rather easy.
But ok. they have commen ground against Germany and her alliance.
The Ottomans would undoubtly be stronger in this. I doubt on any level like other European powers but better. (Could be worse if the Balcans blow up later.) And the most likely continued rivalry with Russia could have flared up here and there again. Nothing dramatic but enough to keep on each others throats.
Than there is the Suez-Chanel and the Straits. I doubt the British would like to "offend" the owner. So a better Ottoman-English understanding is certainly in the cards.
That leads to the German position. In OTL there were strong liks between the Ottomans and Germany. So I can see them here again. Possibley even faster entry into the fry than OTL, if not the reason.
The English are the joker. The colonial race will go under way like OTL, most likely. So the friction will be there. But If Bismark and the Prime Mionister of the Day can come to an understanding against Russian rising influence. I see rather better relations. Esp. if rather unsavorie comments of the English do not materialise around the Boer War.
That was a rather hard point to swallow for the Germans and directly influenced the Kaiserlich Marine and Tirpitz. So maybe no Naval Cold War.
Than there are the Straits and Suez-Chanel. Important for the English and in the Hand of the Ottomans. So rather good relations are important for them there and could also cross invluence the relations to Germany.
Germany in this is certainly trieing to keep one or the other of the Drei Kaiser League. Probably the Austrians. If possible that could lead to an other Ausglaich because o stronger Russian influence. The Germans certainly would hate to lose both. So continued good relations to Viena are a must. And with the rapprochment between France and Russia a closer understanding with England is in the Crads if they both feel threatend by the bigger Russian Bear (real or not).
Italy is also a rather important player in this, the wars with the Ottomans could be a victim to butterlies, or not. But in OTL they were dependent on the English and nominal members of the Mittelmächte, go figure...
But here the situation could change dramaticaly or not. Depends mainly on the Ottomans. And France as well as the Italians had an axe to gring here too. So open in the long run of the PoD.
Americans? Unimportant at this stage of inter european wrangling. Sorry
