When the brought the issue up on the McLaughlin group (I believe this was after it had already passed the House by a huge majority, but I can't remember for sure), most if not all of the experts as I remember it predicted it would not pass. However, I think some of their prediction was based on the fact that it would not even make it to the floor.
As a comparison, the flag burning amendment which was proposed this congress also passed the house by a huge majority, but failed in the Senate by, I think, one vote, so an overwhelming house majority does not necessarily mean Senate passage even if the issue does get to a vote(although I think the gambling ban passed the house by a wider margin than the flag burning amendment did).