The irony of you accusing anyone of revisionism and then going on to say this, is very hilarious.
If he had picked United up when José did, well he probably would have spent as much as José did while getting the team to play a much better brand of football.
I may be wrong, but did Sterling ever score 10 or more goals a season before playing for Pep? And are you seriously saying that Sterling pre-Pep was just as good as the one Pep has coached?
As for the defence issue, before this season City has once had the best defence in the league and 2nd best defence twice behind Liverpool (and not conceeding more than 3 more goals than Liverpool). It was in key CL moments that their defence cost them, so it's false that they've always been bad defensively.