I disagree. First, Bloomberg is pumping in millions of dollars to create the wave of media attention - most of it from the usual suspects and containing the usual distortions. Compromise won't make that problem go away. Bloomberg is going to keep pouring in money until federal gun laws look like NYC's. If anything, compromise will signal progress and encourage more attacks along those lines.
I think you've fallen into a trap of thinking that the people creating the press treatment of firearms are reasonable people who just want an effective solution. They aren't. They don't.
If they did, you'd see reports about how rarely gun possession by felons is prosecuted. You'd see Senators spending 15 hours asking why there were 72,000 NICS denials in 2010; but only 4,732 investigations and 63 prosecutions? You'd see the mainstream media asking why is it when the FBI determined that 45,000 approvals were incorrectly granted to prohibited people, they didn't even make an attempt to retrieve the firearm in 38,000 of those cases? Not even a "Hey you! We saw that!" letter.
We keep seeing this cycle where gun control proponents demonize the NRA and ignore the input of people who actually know guns. Then they propose ineffective, poorly drafted laws that they don't enforce and couldn't enforce if they wanted to. Then when those are ineffective, they propose more of the same. It is a continuous ratcheting and the only people affected by it are those who voluntarily attempt to comply.