I don’t think it’s necessarily true that everyone who supports the Bill of Rights also supports the President. Or that the two issues are connected at all.
I think there are a lot of ridiculous assertions being made right now by people pushing various narratives.
I think the “legit” questions to be asked are whether the President has the legal authority to deploy federal agents to these locations and whether the local authorities have willingly or unwillingly failed to maintain order to the extent that federal intervention is called for. I suppose that we could also ask the question of the extent to which federal agents should go to protect federal facilities. I think those questions will ultimately decided by the courts or at the ballot box; not by anonymous people insulting each other on the internet.