Well, HR 4441 (FAA Reauthorization Act) passed the House committee stage, with privatization being just one of many items in the bill, all of which are still subject to further negotiations.
There's a long road ahead still from the committee stage to passing the full House and Senate votes intact. And for Obama to actually sign it into law.
My guess is the privatization portion will pass the House intact but will face stiff opposition in the Senate, since even many Senate Republicans are against the bill.