If “American Islam” just means eating cheeseburgers after Friday prayers instead of biryani, then no one has any issue with that. The “American Islam” that people have a problem with is when deen is compromised for no other reason than to accommodate American sensibilities and culture.

Examples: In America, it is OK for Muslim women to marry non-Muslim men because of x, y, z aspects of the culture. In America, it is OK to have women and men pray side by side because of x, y, z aspects of the culture. In America, it is ok for non-mahrams to go on dates and use hook-up apps because of x, y, z aspects of the culture. In America, it is ok to smoke weed recreationally because of x, y, z aspects of the culture. In America, it is ok for Muslims to attend and participate in the religious rituals of Christians, Jews, etc., because of x, y, z aspects of the culture. In America, it is ok for Muslim kids to go to prom because of x, y, z aspects of the culture. In America, it is ok to consume riba (which is technically not riba anyway!) because of x, y, z aspects of the culture. In America, it is ok for Muslim women to get abortions if they are not financially stable because of x, y, z aspects of the culture. In America, it is ok to support LGBT whatever because of x, y, z aspects of the culture. In America, it is ok to ignore norms of gender separation in the mosque or other religious gatherings because of x, y, z aspects of the culture. And on and on. If this is “American Islam,” count me out. But I will be happy to sit down with you for a cheeseburger. Or biryani.