Until the law is repealed, they will have to fund it. They can slow down the funding and the implementation of the law, but repeal is necessary. It is the law.
No they don’t. Frankly you are going off the deep end. Nothing compels the 112th congress to follow the lead of the 111th. Go back to your polly sci professors and ask them. You have a fundamental misunderstanding of our constitution. No one can make them vote for funding. No president can arrest them. No judge can convict them. No president can put them in jail. No president can dissolve the House. This is the basic theory of checks enshrined into our constitution.
This is why the soon to expire CR and the Debt Limit are so important. Without congressional authorization the government stops to a halt. The president has no standing to spend any money. Any action to spend money is unconstitutional.
Madison lives.