It is the role of the federal government to ensure the health of the economy. If the mortgage market is in trouble, it is the responsibility of the Treasury Department to solve the issue. A bad economy is bad for the entire country. The government should do everything it can to fix any issues with the economy.
No, the federal government should not provide support to the mortgage market, because their interference into the mortgage market is what caused the great recession in the first place. When the government tries to intervene, things only get worse. Government should get out of the way so the private sector can do its job.