The point is both require research level 356bpt doesn't allow. And if you insist on treating AA joke seriously, then no, you can't conquer a runaway opponent by spamming AA guns.
I wouldn't suggest beelining for flight to build an AA army, but if your opponent is spamming bombers why build any ground units but AA
and if you are going to claim to be an elite civ player you should at least remember that at deity level how much the AI likes to spam knights which then get upgraded into gunships which utterly rip through tanks.