Which part of "the equal protection of the laws" do people not understand?
If there is a law that says "US citizens enjoy these protections, and foreigners in the same situation don't" - that law is already unconstitutional. The lawmakers who voted for it, and the president who signed it, all deserve impeachment on those grounds alone.
If the 4th amendment collides with the 14th, something's gotta give. And that "something" will be determined by whoever is making the judgment call that day. Guess how that's going to go?