Indeed, this assumes a majority in the House votes for Feinstein’s proposal.
If anything passes it's not going to look remotely like Feinstein's proposal. (Fienstein's proposal wouldn't even likely pass constitutional muster with the courts...) They...might...be able to get the so called "gun show loophole" through (which would be essentially pointless and uneforcable see (1) below) and maybe limits on hi-cap magazines which would look like the 1994 ban with all existing ones being grandfathered in and manufacture banned after a certain date (also pointless see (2) below).
(1) Closing the gun show loophole would require anybody selling a gun to another individual to go through a licensed gun dealer and have a backgroud check done. Unless you are stupid enough to pay by check or give a dated receipt, there would be no way to tell if the transaction took place before or after the requirement went into place, making it essentially on the honor system, and almost impossible to enforce.
(2) Hi-Cap Magazines are as plentiful as ball point pens and will always be easy to obtain, ban on manufacture or not. The last time they tried to ban them the price had barely budged at the end of the ten year ban and most gun stores had tables full of them.