I don’t see any problem in this passing the house. The senate under Weed, er Reid’s leader ship will be tough to crack given the number of RINOs still there. The pisadent will work though the senate to stop it from passing. He cannot veto it as this goes directly to the states if passed by 2/3s in both houses.
The only way, IMHO, to get this amendment into the Constitution is for it to start in the state legislatures.