That raises an interesting question for me, I hadn't thought it through before, but when using the Ion cannon would the one damage be a critical because of Marksmanship. I think not because the damage is the result of the hit not the dice, but I would keep Marksmanship for the primary weapon as it makes sure you give two stress.
No, the damage from the Ion Cannon would still be regular damage: as you say, the hit is the result of the Ion Cannon's text, not from the attack (all dice results, including any crit results, are canceled). However, it does mean that if you miss with the Ion Cannon you very likely assign a stress to your opponent.