I think people are missing the point with why some fans are still appalled that Allardyce is our manager.
I think it comes down to what cost are you willing to accept for a modicum of 'success', with apparently staying in the league being success in this instance.
For many, having the figurehead of the club as a proven crook isn't a price worth paying for a club of our tradition, especially when many of us didn't actually think relegation was a serious possibility anyway.
It's hard to say whether that is an overblown view to have with Allardyce, but a fact is a fact - the man is a crook. Add to that bringing in a Kopite as an assistant and it's a bitter pill to swallow.
For me personally, I find the fact he's here distasteful, but if his transfers are handled by third parties and carefully vetted then like everyone he deserves a second chance (despite no remorse whatsoever for his actions, but hey ho.)
But I do and always did think that hiring him was completely unnecessary and fuelled by panic. What's done is done - whether you felt Allardyce as Everton manager to be abhorrent, at this point I'd suggest just giving him a second chance and the opportunity to win you over with what he does now rather than what he's done in the past. And that includes whether you have reservations about his football - give him 12 months and see what he does in charge of a talented squad for a change. If he's rubbish, he's gone - if not, you're pleasantly surprised. Win win.