What happens if the turret rolls a critical miss?

Right now, nothing. At least, that's the consensus on the Judges forum.

Essentially, a critical miss results in 1 damage taken by the character that rolled snake-eyes. Ignoring the fact that Laser Turret isn't a character (and the whole issue of whether or not it can even roll a critical miss since it isn't), it still takes 3 damage to destroy an object. Since object don't have dials to click, it just absorbs the 1 damage and keeps trucking along like nothing happened.

Again, this is one of those rulings that still seems like it is up in the air. A lot of this will probably written down and officially clarified when the next batch of errata comes out.

i used the turrent with aunt may pog in the tournament this weekend and did 8 clicks of damage!!!! and it rocks against mystics as you dont take damage the turrent does!!!! and it takes 3 damage to destroy the object! Mystics Beware!!!!!!