When Klopp took over at Liverpool, they sat at 10th. That was at the beginning of October, so he had around 8 months to fix things. At the end of the season, they finished 8th on 60 pts. Hardly a good achievement for a world class manager, right? Check how bad their squad was. We are in a very similar situation: a lot of deadwood needs to be cleared out and a massive rebuild needs to start.
Their rebuild did start, and in the next 2 years, they managed 76 and 75 points respectively, which is a huge improvement on their first season. This season, they managed 97 points, and it goes without saying that currently we can only dream of a point tally like that.
Klopp had 7 transfer windows to shape his team and signed 13 players, whilst almost spending 450m. The situation was somewhat similar at City, but Guardiola managed to turn things around after a single season, because that City squad was probably better than 15/16 Liverpool and 18/19 Man United, as they had won the title in 2014 and Guardiola had Kompany, Sterling, Agüero, De Bruyne, Silva and Fernandinho to work with from the first day. Not to mention he spent around 600 million for City to be where they are today.
What we need is to give Solskjaer time and trust (which I believe we will do) and start doing a massive overhaul with a clear vision towards what we want to do. Moyes, LVG and Mourinho had completely different philosophies and as a result, we always finished between 64 and 70 points with Mourinho's 2nd season being the only exception. The reality is that we probably wasted 5 years for nothing.
What I'm trying to say is even proven, world class managers like Klopp and Pep couldn't do a miracle with shitty squads and since we've seen van Gaal and Mourinho - 2 of the most charismatic and most proven managers of the last 20 years - lose the dressing room and see things go south, which eventually resulted in them losing their job, there's absolutely nothing that suggests that bringing in a world class manager with a good track record will suddenly have us challenging for the title.
Sacking Ole now wouldn't make any sense