I play TEC and got carriers with fighters.
TEC fighters actually aren't particularly good (unless operating from a Sova with heavy strikecraft passive ability, then they're quite effective). Cost per cost, Illuminators are about the same effectiveness as LRMs. I would use a larger number of LRMs against his Illums (and if he doesn't have much strikecraft, I'd release my flaks to attack his illuminators).
Of course, the Kodiak will tear through them like tissue paper once you get them.