Yeah, I think that belief in the manager has to play a huge part. Under Silva, they would have collapsed after Delph's sending off.
At the same time, the Keane sub is the kind of move that could so easily backfire on a less lucky general (how many times did we lament Moyes's inviting of pressure with a negative change?). However, much like how we've talked about the players being more motivated to play for Ancelotti, us fans are also more inclined towards seeing this as a direct response to Watford pumping long balls at Deeney, rather than just a hopeful flooding of the box with bodies. Another example is how I happily presume that he'll never throw Niasse on while defending a lead again, because he'll have seen how his inability to control the ball resulted in Newcastle being able to move up the pitch without fear of being caught out. If Silva had done that, I'd have held it over his head for months.
That may read as me being cynical or even critical, but it's honestly not. You only have to look across the park to see how galvanising it can be to have a unifying presence in the dugout.
I do understand what you are saying. I think Ancelotti has the gravitas to carry supporters with him. This ultimately makes an enormous difference. Once the fans start to get on a managers back particularly one that doesn't have much credit in the bank, it's game over.
I think Moshiri eluded to this in his words about Everton being a "difficult" fanbase and requiring an "experienced" manager. It probably comes across as a bit harsh but I think he's correct. I don't think Ancelottt is phased by Everton's fan base at all. In truth, having a job where he can experiment for 9 months before a new season is a relative luxury for him in the type of jobs he's been in.
Being able to carry the fans makes an enormous difference. As you suspect it will, be similar for players. That draw against Newcastle would corroded a lot of managers. The fact we bounced back, in the manner we did says a lot for Ancelotti. Right down to scoring 2 goals in injury time, we effectively banished the demons of Newcastle.
You've seen what a difference Klopp has made to Liverpool. While they are all coming out of the woodwork about the brilliance of the recruitment (and it has been very good) nobody was saying that pre Klopp. Having a top draw manager knits everything else together. We are fortunate in Ancelotti (who lest we forget wason the shortlist of 2 with Klopp for Liverpool) to have a similar figure who can knit stuff together.
It looks to be an inspired choice thus far. Lets hope it doesn't all go pear shaped and make me look stupid!