Chelsea have some problems. At the moment they really don't look like a league winning side.
That said it would be a mistake in my view to get rid of Scolari, both now and at the end of the season.
Firstly, if you get rid of someone, you have to have a replacement who will improve the situation lined up and ready to take over. That is unlikely to be possible mid season, and even more so given the likely upheaval and disruption a mid-season sacking would cause. Even this summer getting someone with a pedigree better than Scolari's is going to be difficult.
Secondly, Chelsea's current problems stem in large part from chopping and changing at the top. They sacked Mourinho after having undermined his authority, then appointed a lame duck manager for a whole season, then changed again this summer. That is a long time to go without a manager who is in control of the team's direction, the transfer policy and so on.
If they had a sporting director with real authority, like some continental clubs do, (e.g. Galliani at AC Milan), this might not be such a problem. BUt there are some structural problems with that Chelsea team and if you keep chopping and changing managers they will never get resolved: someone needs to be appointed and given the time and resources to shape and mould his own team. Sacking Scolari would be a disaster because what you are saying is 'we want immediate results'. That will only engender short-termism in the management team, whoever that may be. It also leads to far too much player power (Lampard, Terry and Drogba anyone?)
Ok, they are a top 4 team, but the way they have been managed over the past 2 seasons (and here I mean at the very top, i.e. Roman, Kenyon etc) it should be no surprise that they are struggling to compete with the rags, who by contrast are very well managed by a secure management team who have a mandate to identify problems and the resources and time to solve them - as well as enough backing and goodwill to take tough decisions. Top teams are not immune from the requirement to be well managed and have a bit of stability. Blame Scolari if you like, but a lot of his problems are inherited and he has not yet had the time to sort them out. Will he get it? Probably not...