If Obama resorts to force with an armed thug group (Civilian Defense Force) it would set off a civil war and the military would take sides and overthrow the government.
I think the military would take sides, but it wouldn't overthrow the government.
I think you would see various states activate their National Guard and take control of the situation, and await Congressional resolution of the issue.
Some states might not, and they will suffer terribly for it. But, the rest of the country will be intact.