I really don't see another big gun control push coming before the upcoming midterms, or possibly even before the next presidential election for a variety of reasons. First of all, barring another mass shooting that equals or surpasses Sandy Hook, the prime time for new gun control legislation has passed. Support for gun control among the populace at large is almost always at a peak right after a particularly bad mass shooting and support among politicians is almost always as far away from an election as you can get. Both of those conditions were met with Sandy Hook yet they weren't even able to get it through the Democrat-controlled Senate, much less the Republican-held House.
Now, part of this may be because they waited too long after the shooting and thus failed to "strike when the iron was hot" when emotions were at their peak. However, I think part of it is because, for Democrats not from deep blue districts like NYC, Boston, LA, or Chicago, gun control is usually a poison issue that does nothing but hurt their re-election chances. I very much suspect that Democrats from moderate and conservative-leaning districts would rather not talk about gun control at all as it puts them in an unenviable position: anger their constituency or their party leadership.
Also, while I have no doubt he'd take an opportunity that presented itself, I really don't think that gun control is that far up on Obama's list of priorities (it's not as though he doesn't already have enough problems). While he made some fiery speeches and acted outraged for the cameras, Obama's last gun control push seemed a bit half-hearted to me. Putting Biden, who isn't known for endearing himself to the other side, in charge of a blue ribbon panel seems like more of a "ra-ra-ra" to the base than a legitimate attempt to get something done. I very much doubt that Manchin-Toomey generated the same level of political arm twisting that other legislation like the ACA did.
Finally, one needs to remember that most polls only measure opinions on an issue, but not the enthusiasm with which those opinions are held. I've seen more than one set of research which indicates that gun control supporters are, as a whole, much less enthusiastic about the issue than gun control opponents. While members of pro gun groups like the NRA, SAF, GOA, and others might represent a minority of gun owners, members of anti gun groups like the Brady Campaign, Moms Demand Action, Everytown for Gun Safety, and Americans for Responsible Solutions represent an even smaller minority among non-gun owners. I've seen quotes from more than one politician, including some very prominent ones such as Bill Clinton, stating that, in essence, gun control opponents usually feel very strongly about their position, generally have good memories regarding political stances on the issue, and that pro 2A groups, the NRA in particular, are very good at reminding their members of politicians' records on the issue particularly around elections. Because of this, I think that gun control opponents will likely "get out the vote" more effectively in the midterm elections (which typically have low turnouts anyway) than gun control supporters. Therefore, many of those who supported the last gun control push are probably already in an unenviable position, so doing it again right before an election is, IMHO, basically political suicide.
Basically, I think this is probably little more than an attempt on the part of the President to rally his base and possibly distract some attention from the numerous other problems he's having right now. The Democrat party's prospects in the midterm elections aren't looking all that good anyway, so I think the last thing they need to be doing in revisiting a poison issue like gun control.
