I'm not sure if the 4th amendment applies to deportation of non-citizens, and secondly you would have to take it to supreme court to find out.

In comparison to the US constitution, EU "norms" might as well be toilet paper. For example, they have some notion of "free expression" which sounds like free speech but is defined to be so weak as to be useless. The european public broadly does not seem to care, they certainly aren't willing to kill for their rights.