Go download the bill and read it.
It's a painful thing to read, since its written in lawyer & bureaucratic lingo then decide for yourself what it says.
I have discover over the years that many of the “claims” of the “professional libertarian crowd” (and I consider myself very much a constitutionalist! I actually have read the thing, several times! I have it handy to refer to.) are at best overblown often just showing ignorance regarding the issue. At worst its lies to support another agenda.
I read it when this first came up, and Rubio is telling the truth.
Unless you’re a member of Al-Qaeda and have attacked the US, you don’t have to worry about it. It is very narrowly defined, regardless of what Barbara Boxer and paultards say about it.