Currently Minnesota doesn't have any such provision. Prior rulings suggest it would require amending the Minnesota state constitution, and repeated efforts to do so have fallen short.
My question is, if initiatives and referendums were permitted in Minnesota would this on balance be favorable or unfavorable to gun rights? On the one hand the pro-gun movement is far more active at the grass roots level; but on the other hand the antis and their out of state funding seem much better able to push "astroturf" agendas.
It's currently a moot point, but I'd be interested in hearing from anyone who has examined this issue.