Time will tell. 

Via Mother Jones: 

President Donald Trump’s selection of Brett Kavanaugh to serve on the Supreme Court has been met with concern in a variety of progressive advocacy circles, but one group’s condemnation has been particularly swift and forceful: proponents of gun control. Organizations like the Brady Campaign to Prevent Gun Violence, Michael Bloomberg’s Everytown for Gun Safety, and Giffords—the group founded by former Arizona congresswoman and gun violence survivor Gabby Giffords—all issued statements denouncing Trump’s pick. Protesters representing their cause counted themselves among the hundreds who assembled at the Supreme Court last night to object to the president’s choice...

A challenge to DC’s ban on assault weapons went before him and two other judges—all three were [appointed by] Republicans. The panel split 2-1 to uphold the law, with Judge Kavanaugh as the dissenter. He thinks assault weapons are within the scope of the Second Amendment, which puts him way out of step with the Supreme Court and circuit courts that have considered this issue...

The Second, Fourth, Seventh, and the DC Circuit have all upheld assault weapons ban, so I predict the First Circuit will, too, but somebody’s going to appeal that to the Supreme Court, and we will have this discussion about what does “in common use at the time” mean? I think it’s likely that Judge Kavanaugh will be Justice Kavanaugh by then. And we know what he thinks because he already told us—he wrote that dissent in the DC case...

I think Judge Kavanaugh could become the fourth vote [along with Gorsuch, Thomas, and either Justice Samuel Alito or Chief Justice John Roberts]. So his presence on the court means it’s quite likely the court will start taking more of these [2A] cases.

Read more here.