Democrats are seeking to limit the political fallout from the attack in San Bernardino, Calif., by pressing for legislation that would prevent terrorism suspects from buying a gun.

Leaders in the party think they have a winning message in pushing legislation that would ban gun sales to people on the federal terror watch list, and have made the bill a focal point of their response to the shooting.

Throughout the week, House Democrats repeatedly interrupted floor proceedings with protest procedural votes aimed at calling attention to the measure authored by Rep. Peter King (R-N.Y.). Senate Democrats and the White House have talked up the bill as well.

The aggressive push underscores Democrats’ desire to address public fears about terrorism without attacking President Obama, who is under fire from the GOP for his handling of the Islamic State in Iraq and Syria (ISIS).