Nope, that is not correct. The rights remain in place and may be exercised at will.

The people are armed as well.

That’s not true, because the Constitution applies to the whole place. Americans and non-citizens freely exercise those rights in those areas daily.

If any agent of the government tells you otherwise, you must educate them and enforce the free exercise of your own rights.

1st Amendment protections on freedom of speech apply to everyone in the USA, regardless of citizenship. Frenchman should sue.