The Bill of Rights makes no distinction between citizens and non-citizens in its text. It says that rights belong to people, not exclusively to citizens of the several States.
The Equal Protection clause protects citizens and non-citizens alike, e.g. Graham v. Richardson, 403 U.S. 365 (1971)
The first amendment protects aliens once they are admitted to the US, Bridges v. Wixon, 326 U.S. 135 (1945)
There is a right to travel that is an extension of the first amendment rights to freedom of association and freedom of expression.