From what I understand, you can get bonus bouncer class points, by talking to Kotori and Saga, (think that's how you spell their names, it's two in the morning, and I'm tired.) But you need to complete their quests, have been leveled to 75, and get the bouncer Ex-Cubes.
So it is possible to use both class weapons. I know, because I do.
I combined mine bouncer class with the fighter as a subclass because of dexterity bonuses, and I used my mag to further them to a point. I'm still working on my build, but I melt enemies right now, at current, while I'm leveling my fighter. I'm also going to get the bonus fighter points from it's vanguard, as I call them.
After that, it's all about augments on your gear, for damage and defense, as well as the base defense bonus and attack the gear gives. Not to mention set bonuses applied on top of the augment bonuses, in regard to your armor specifically as all play into your stats.
Then lastly you have to take into account, what weapon you use, as each have their own unique unlock as you enhance them.
I'm no expert however, as I've basically just been running on gut instinct.