I think it would be fair to say that the conventional wisdom by scholars who have studied the ban would be the one Christopher Koper, Daniel Woods and Jeffrey Roth stated: "We cannot clearly credit the ban with any of the nation’s recent drop in gun violence." In other words, the assault weapon ban had no significant effect—at least where the United States is concerned. And as far as I know there are no studies of the effect of the ban expiration on Mexico.
As is well known, gun control is politically charged issue, not only in the United States, but also in Mexico. For example, after two students died in a shootout between the army and cartel gunmen, the rector of what is arguably Mexico's best university stated:
For me [Rangel Sostmann] the solution is that Mexico and the United States must change their policies. And the policy right now is for the United States to send the money and weapons, and Mexico puts the dead and the drugs. And that ultimately is not going to work, it's not a question of driving the Army out, the problem is that you have to change the policies, in this case the United States policy.Later an investigation by the National Human Rights Commission concluded that the army had used excessive force, impeded the investigation, planted weapons on the students, possibly tortured them for several minutes, and then shot them at point blank range. The day after the report was released, the ITESM bestowed upon the Secretary of Defense the "AdHonorem" award, given to persons whose works have contributed in an outstanding manner to the "the fight against injustice." As you can see gun control has become extremely politicized, to say the least.
—Rangel Sostmann, ITESM Campus Rector
With politics hopefully out of the way, let's look at the homicide data with a seasonal decomposition by loess: