reminds me of another club
Maybe. I see many differences between the two collapses though so I wouldn't feel as strongly about sacking Allegri.
Mou has a world class squad that has been playing together for 2 years and were supposedly improving. He did some business in the transfer market that strengthened the squad further and so on. He doesn't need to change formations, he doesn't need to integrate anyone all he needs is just to motivate the players. The longer he stays the less motivated the squad becomes. If they can get a motivator that uses Mou's system exactly they'll be back to normal levels.
Allegri on the other hand has a new squad with injuries that destroyed his midfield to which there are no substitutes available. He has an attack that also lost its best man and replaced him with a kid that again has no substitute and is asked to regularly fill in massive shoes. Any coach would struggle in that position and the youngsters are bound to be de-motivated. Imagine if Pirlo and Vidal had gotten injured for about 2-3 months at the start of 2011, we would have had no momentum at all and probably the squad would have been demotivated.
I think Allegri can turn this ship around provided the midfield stays healthy. He has underperformed given the squad (even after injuries) there is no doubt about that but I wouldnt expect another better coach to have done much better. Anyone in my view would have struggled. The better coaches would have struggled less but struggled nevertheless.
My position is thus
Plan A: to seek out a better manager like Ancelotti, Simeone or Mourinho because they'd probably do better even if they struggle. They are better coaches in general so why not upgrade when we can, especially that we need the best now.
Plan B: In the absence of this caliber of coaches, stick with Allegri until he has his midfield healthy and fit for a run of games. If he turns the ship around then keep him.
Plan C: If the performances still suck (with no injuries) then sack him and go for a change even if its just an okay coach.