Yes I would argue 100% that Obama is a free market guy. He is effectively a moderate republican well to the right of Reagan. And last time I checked the housing market has been F---ed since 2006. There are many to blame for the crisis but Obama ain't one of them. And he ain't making it worse.
The fed and our government have tried to force banks to refinance, bailout underwater homeowners, lower mortgage payments, stop foreclosures, and basically stop the free market from working. Truth be told, it has hurt to a degree, but nothing has worked. From HARP, to HAMP, to MHAP, to Operation Twist, to the latest nonsense of HARP+ which attempts to reduce mortgage balances. Of course the reduction is only for those mortgage holders who are current and can qualify for the new refinance standards, which eliminates most of the mortgage holders that actually need to have the new deal anyway. Yes, some folks are refinancing, but not the millions upon millions that we are constantly told will happen. It simply is not working.