I never thought we reached a consensus

but for the sake of good questions let me take a stab before anyone else.
Is Washington completely out of this scenario? if not he is VP then most definitely this will be a more successful term for Adams. If it is Jefferson, I don't know what will happen. They were good friends through most of their lives but Jefferson always struck me as sneaky dude (read Ellis' book on Jefferson and you will see what I mean). Adams might do better as the 1st pres then as the 2nd, because nobody could really follow Washington and be deemed a success by the bodypolitic. Overall I think because of his personality issues, you will see more fracturing earlier and probably a very closely run election of 1792. OTOH you might see greater Federalist unity and no backstabbing like in OTL 1800, as a result the party is viable to the 1810s.
As for Legislation, Assumption will come up and will have to pass. Plain and Simple the govt. was going to fall apart if it didn't happen. So for you Libertarians out there hoping Assumption gets butterflied is out of the question. I have to imagine that most of Hamilton's agenda will go as planned. Overall Adams as 1st Pres. may not be that bad but I doubt all would rosey and the political sectionalism would only arise faster because Adams would have to weigh in on everything while Washington was content to sit and listen.