I think your CountDec is too high. It tries to subtract four every time a single fighter is launched, if I'm not mistaken. I'm no expert, but if you change the CountDec on the fighter itself to 1, I think it will fix the problem of them not launching.
Edit: Alright, that doesn't seem to stop them from launching in my mod. The other thing I can see is that my fighters are in sets 20, 22, and 140, but dropping it down to a single set didn't make a difference in the AI launching (yet my memory seems to suggest that I had an issue with that in Cinema mode. Oh well.)
Edit2: It seems every idea I have doesn't pan out when I test it with my mod. I was going to suggest the possibility that the AI isn't launching the fighters because the launcher has no Civilization line, but no dice there. I even tried combining all three of the things I mentioned, and nothing.
Edit3: Is it that they won't launch period, or just that they won't send the fighters to attack? If they'll launch the fighters, but only keep them defending their own ships, then the Purpose line is probably at fault. I just ran a quick test with the Purpose line of my fighters commented out, and the AI wouldn't send them to attack like it normally does.