From the pretty sizeable group of City supporting mates and colleagues of mine, the clamour for wanting Pellegrini binned is much greater than back when Mancini was on the brink, which to me speaks volumes about the general faith in Pellegrini's ability, both tactically and man-management.
From a neutral POV, I actually think the players are more to blame than the manager, and tbh an element of that is also aimed at Mancini's exit.
Too many times have I seen your side stroll through games looking almost uninterested, and whether that's down to a lack of belief in the manager or simply the mental state of certain members of the squad I'm not sure.
Let's be honest here - the squad you have, with the money you've invested, on paper is leagues ahead of United, and certainly better than Arsenal & Chelsea, so there's absolutely no reason why you should be putting in the performances you are, as regularly as you have been of late, unless something else is going on.
With all that being said however, I still don't believe getting rid of Pellegrini now would be of benefit. You've just got to hope that you can get Kompany, Silva & Aguero match fit ASAP, and they can help you climb back up the league.