Not a chance they're there yet. They hero worship him. I know a LOT of Liverpool fans and every single one thinks he's a saint.
FSG are on weak standing atm. The fans, as you say, feel they've got complacent due to the success. I actually think they have a point, unlike you. Their net spend in the last couple of summers is crap and they have areas getting weak that have been neglected.
Ferguson always used to emphasize how important refreshing a squad is. FSG haven't done that at Liverpool so far.