Never happen.
First, this petition merely takes the bill out of committee and opens it for debate.
Second, it has to be passed by both House and Senate.
Third, it has to pass through the House/Senate conference committee.
Fourth, it has to be signed by W.
Fifth, it has to survive the inevitable lower court challenges, which likely will place an injunction on the enactment of the law.
Finally, it has to survive the Supremes (if it gets that far).
There are too many difficulties associated even with getting it passed in both houses, much less surviving the conference committee with teeth intact, for me to get too worked up about it.