While I like your main idea, until I read the part about Heavy Battleship turrets.
On my Juggernaut I have 2 Mortars and 4 pulses, the rest being a mixture of Prims.
If I changed them all to cerbs I simply wouldn't have enough energy to compete in a cap battle. The energywould run dry too quick, allowing a Light Battleship to have the upper hand, which defeats the object of making a Heavy Battleship more specialised as anticap.