I mean, do you think Islamophobia is rooted in theological disputes? The Christian nationalists who find common ground between Catholics, evangelicals, Eastern Orthodox, and Jews hate Muslims because of their almost indistinguishable tenets of faith?
Yep. While technically being an Islamophobe isn’t racist, odds are the reason one is an Islamophobe has very little to do with them being Islamic.
Also, the hateful person does not care to distinguish between race, ethnicity, religion, or whatever other aspect they decide to hate. They have classified some attributes as making people not like them and hateable. The framework of analysis you are using is immaterial to the racist. That is, they do care that they are Islamic, just not with any subtlety.
