Financial Times is reporting:

Many of Iraq’s predominantly Sunni Arab insurgents would lay down their arms and join the political process in exchange for guarantees of their safety and that of their co-religionists, according to [Sharif Ali Bin al-Hussein,] a prominent Sunni politician.

This alone would not end the attacks, because the foreign al Qaeda affiliates and their allies still remain:

Sharif Ali distinguishes many Sunni insurgents, whom he says took up arms in reaction to the invasive raids in search of Ba’athist leaders and other “humiliations” soon after the 2003 war, from the radical jihadist branch associated with Jordanian militant Abu Musab al-Zarqawi.

Still, such a move would isolate the foreign insurgents even further from the rest of Iraqi society and therefore make them more easily identifiable by Iraq’s security forces. It also seems like another post-election sign that things in Iraq are moving in the right direction.