I could be wrong, but I think the gun control proponents in Congress will tread very carefully. Right now the Supreme Court has tried to avoid hearing any 2A cases. I think this is because Roberts is truly a Federalist and wants to leave as much control at the state level as possible. If MA wants very restrictive gun control and NH wants none, that’s fine with him. If Congress starts trying to restrict things at the Federal level, there is no way SCOTUS can avoid hearing some significant 2A cases, since there will definitely be differences between different circuits. Let’s say Congress passes a new federal AWB. I’m sure at least one circuit, using Scalia’s “in common use” language, will find that ARs/AKs are protected by the 2A and that the new ban is unconstitutional. That means SCOTUS will have to hear the case and make a decision. Given the current makeup of the court, it’s highly likely that they would find banning ARs and their like unconstitutional, and that would not only tear down the Federal ban, but all the state bans. Until the makeup of the SCOTUS is changed, I can’t see the gun control folks risking all the existing state bans to try and get a Federal one. All the states that really want strict gun control already have it. Trying to force it down the throat of the entire country could lead to them losing the state level controls they already have.
Now if the makeup of the Court changes (either by the Dems packing the court or through the untimely passing of some of the conservative members) all bets are off.