"Deportation of Muslims would work. Downside is that there should be some exceptions, but there is no practical way to determine what they are."
No exceptions the Constitution violates the rights of ALL Muslims therefore they should ALL go.
Another downside is, again, determining who the Muslims are.
Simple enough advertise bacon and leave the alcohol in KFC's hand wipes, the ones that complain are the Muslims.
You could also look for things like -prayer mats at work, taking Fridays off, and hating Jews.
That last would include all "liberals" but they're no loss either.
You have no idea how stupid I find it that people want to be "reasonable" with barbarians who want to cut your head off.