If Mourhino stays, I think Chelsea are in real danger of being relegated. If they get a new manager in - anyone will do - I think the change, in itself, could be enough to galvanise enough spirit in the squad to get it functioning enough to escape relegation, and even finish in the Europa spots. Mourhino seems to have lost the ability to convince his team that it can win anything!
I would like to see Mourinho stay for the foreseeable future just to see what he's really made of and if he can turn this around and win back the players. To date, he's always walked into a club where the finances were strong or the infrastructure and squad were very good. It's time to see if he has the qualities to knuckle down and is as special as he claims. Right now, he looks ordinary and out of ideas.
I suspect the season will continue to be a bad as it has started but I can't see relegation being a realistic threat.