There is no place for Muslims in the US. Islam's world view is incompatible with ours.
Remember, when the First Amendment was adopted Muslims lived in Asia Minor and Africa. The idea that they would come to Western Europe and America was unthinkable. Even the indigenous Indian nations were not part of the US, but considered foreign nations. The First Amendment did not apply to them.
The only religion practiced in the US in 1789, was Christianity and it had numerous denominations. The First Amendment guaranteed that all of those could be practiced, but not one of them would be the 'State" religion.
One has to ask if the First Amendment would be written as is, if it was known that Asian religions could come to the US.