While checking the files I found a bug that renders your wish "currently limited to AI's that are either fanatic miltarist or fanatic Spiritualist." impossible. You gave the AI a weight of 1, which will make it use the weapon as long as it has a need for the weapon role. (That's why you define the weapon role in the first place)

To prevent the AI from using it, you would have to change the AI weight to 0.
Of course a factor modifier won't work then anymore so you have to change "factor = 199" to "add = 199" as well to give the AI weight 199 if it fulfills the conditions.

So much for the bug so far, since it is basically required to have the tech which need the civic or ethics to fire it might not be an issue except for the cheat realms that get "all_research 0 10" at game start/entry, also known as "Fallen Empires". So those 3 plus some of the Marauders and crisis empires could use your weapons without meeting your condition. But that is only a minor bug, just one that I found while looking at those texts. So it would be up to you if you want the code to be bullet proof or not.

About balancing: I sort of find it alarming that most weapons have a static attack (min = max) and that they all get a multiplier that boosts their strength up, as well as you add an auxilery component that also increases the damage value. This multiplier all add up to, which can increase your 450% from the weapon to easily over 1000%. Add some vanilla or modded admiral traits and the battle is over before the game even shows it. Can kinda ruin the fun and I would advice against it, because if I would equip weapons to my ships I want to see them fire and watch the fireworks and not just see the enemy fleet blow up without any shot fired.

So my suggestion on balance would be: limit the auxilery to 15 % max (0.15) and also limit the weapons to a maximum of 100 % boost. Give them some of their vanilla abilities instead, aka penetration, if you want stronger weapons.