When a Muslim would prostrate himself in the street to Daven, the Maharil Diskin wouldn’t walk within 4 Amos, as is the Halachah regarding one who is davening Shmoine Esrei – because he said the Shchinah was there during thier Tfillos.
Yishmoel has the Koach of Tefillah like we do. We daven to the same God, and although our religions are diametrically opposed, we still have very much in common with them.
This is the reason why Golus Yishmoel isn’t recognized in the 4 Golius – the other 4 are battles with our antagonists. Eisav is ?? ????? ??; neither can live while the other survives. We are always in a see-saw matzav where one will profit through the other’s degradation.
Yishmoel is not our antagonists, however, they are our competitors. And they often, unfortunately, do our job better than we do it.