Will the GOP blame Hillary or Obama for the shutdown?

They will blame congressional Democrats and the Democrats will blame the GOP. That's Washington, it's always the other parties falt. And the government shutting down means nothing. All government programs still get funding during a shut down. Snap, social security, Medicaid, Medicare, all of them. Government employees don't get paid but once their is a spending agreement reached they get back pay with interest. Nobody suffers during a shutdown. It actually happens all the time and you don't even notice.