It depends on their status, you can remove an illegal arbitrarily. You can target a non-citizen for removal based on first amendment activities, as long as you can deport them for other reasons.
And targeting innocent Muslim citizens over their religion is totally unconstitutional. You can't do that.
Non-citizens are guests in this country and we have every right to remove them for whatever reason we choose, even as we have the right to kick guests out of our homes for whatever reason we choose. Chances are we wouldn't throw a guest out of our homes without good reason. I dare say that if I found a guest in my home to be practicing Islam, that would give me enough cause for concern that I would not want them in my home and more than I'd want a Satan worshipper in my home. In my opinion, there is little difference.