They are not. Trump is no libertarian or small government guy. The build the wall guy is the opposite of that. Even with stuff like social security he usually at least rhetorically claimed to be for more benifits (as long as it goes to "real Americans") and he is all for increasing police and military spending. And generally spending more on stuff that gives him money. Plus giant tax increases (tarrifs). He doesn't care much if government is dismembered as long as it owns the libs and gets rid of the public corruption prosecutors/others who might stand up to him

Trump's actions towards Putin are highly irrational. Maybe he's being blackmailed, maybe he's being bought, maybe he just has likes Putins style but there is a reason people suspect him despite it being unlikely in the general case.