I really can't agree with your blaming religion for all the Osman wars of expansion in Europe. In the Crusades there were more factors than religion there too, but there at least it makes more sense to state religion was the primary factor. But the Europeans of the 12th and 13th century were rather different from the Europeans of the 16th century, nevermind the end of the 17th. France had an open and long-standing alliance with the Osman Empire. Not because France was less religious or less Christian or less Catholic than the other European countries, but because it was politically convenient - they had a joint enemy in the Habsburgs. In 1689, that alliance wasn't really functional anymore, but still the siege of Vienna was a simple political war, not some kind of special religious war, for all that the pope tried to claim it was one. Europe had almost constant war in those centuries, most of them between Christian nations. And the Osmans, too, fought their wars of conquest (or in some cases defensive wars) against their Muslim "brethren in faith" as much as against the Christians: they conquered the Mamluke Empire and then waged constant wars against the Safavids, as well as trying to keep the Arabian peninsula under their thumb.

Other than that, we'll have to disagree on there being no side worthy of support in Turkey.

Their admission to the EU is still years in the future even if France and Germany give in and allow them to join. Recognition of the Armenian Genocide isn't the only or even most important hurdle they have to take before that time. But I really don't see how this political grandstanding of the American Senate is going to help the US' professed goals of helping that accession process, quite the contrary in fact.