AHC/PC: Victory at the Battle of White Mountain=Ottoman-Protestant and Habsburg-Safavid Alliance?

As it says on the the tin. What if the Bohemians were able to delay battle long enough for the Turks (who had won the Battle of Cecora against the Commonwealth two months ago) to arrive as reinforcements at the Battle of White Mountain?
My idea is to then have a sort of Protestant-Turkish alliance locked in a perpetual contest with the Pope and the Hapsburgs who themselves would also have Safavid alliance. Long term Islam must continue be seen as much closer to Protestantism than Roman Catholicism. So what about forming a long term coalition of Catholic states and the Persians opposing an equally matched band of Protestants and Turks? How to make this happen and what could be some cool outcomes from this? Cultural effects? Theological Outcomes?
https://en.wikipedia.org/wiki/Habsburg–Persian_alliance
https://en.wikipedia.org/wiki/Protestantism_and_Islam
https://en.wikipedia.org/wiki/Battle_of_Cecora_(1620)
Abbas I being welcomed as Caesar:
Abbas_I_as_a_new_Caesar_being_honoured_by_the_trumpets_of_fame_and_the_Persian_embassy_in_Allegorie_de_l_Occasion_by_Frans_II_Francken_1628.jpg

Dutch coin from the 80-years war saying "Rather Turkish than Papist"
800px-3_Geuzenpenning%2C_halve_maan.jpg

Battle of Cocera:
800px-Cecora_1620_111.JPG
 
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France and the Ottomans had a longstanding alliance, and France's support for the Protestant side might strengthen it.

Apparently there was a Persian diplomatic party that stopped in a few major European capitals around this time, so it might not be difficult to organize another.

Increased Ottoman involvement probably sets loose some butterflies in Poland and Russia, and the same for Persia and India, but I don't really know enough about those areas during that period to say (except that the Mughal Empire may see Persia's occupation in another Safavid-Ottoman war as an excellent opportunity to take a potshot at them and grab some land).

The Ottomans are just across the Adriatic from Italy. We might see them supporting Italian dissidents--rebels in Spanish Italy, for example--or even landing troops there to open up a third front. The Catholic powers will collectively panic if this happens, obviously; it's like 1453 all over again.

I can't think of anything else at the moment, but that's a small sample of the effects that Ottoman participation in the war might have. I have no idea how many of these are plausible or even possible; I'm just taking shots in the dark here.
 
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