Obama doesn’t care if the bill passes or not. When he figures the time is right he’ll just issue an Imperial Executive Order. The Brain-Deads in Congress will no doubt let him get away with it.
They could try, but all it takes is for one natural born citizen to declare that he's running. Congress cannot stop someone from running, and Obama cannot cancel elections.
Besides, elections are not federal operations, they are state operations. Each state chooses its electors as it sees fit. In fact, a state legislature could, if it wanted to, declare that they are returning the selection of presidential electors back to the legislatures, and not hold a popular vote for President.
And there is nothing that Obama could do about it.
Article II Section 1:
We've read about apportioned electoral votes, national popular vote assignment, etc., but a state could do away entirely with presidential votes and let the statehouse decide.
Each State shall appoint, in such Manner as the Legislature thereof may direct, a Number of Electors, equal to the whole Number of Senators and Representatives to which the State may be entitled in the Congress: but no Senator or Representative, or Person holding an Office of Trust or Profit under the United States, shall be appointed an Elector.
They'd still have to hold House and Senate elections, but they could bypass the Presidential vote for electors if Obama tried to stop elections he has no jurisdiction over in the first place.
-PJ