Do you honestly think that the stick Hodgson took from the fans from day one the fans wasn't detrimental to team performances? He was on a sticky wicket from the start because most were raging at the sacking of Benitez. With the right backing from the support from the outset Hodgson could have done a good job at Liverpool imo.
I can't see Mourinho going to Anfield though i can absolutely understand why you would want him to. I think your right about it being a wee bit too soon for rodgers but not convinced they will go down next year with him in charge. Liverpool need to appoint someone who REALLY knows the EPL, if you could get Moyes to leave Everton and he was given decent financial backing by fsg i think you would be back in the hunt for a champions league spot next season, a cert for a spot the season after and challenging for the title optimistically a year after realistically two to three years after that.