Adding warp core strength to ships is not the answer to your apparent problem. I’ll be honest, I’m not 100% sure what the problem actually is here beyond the cost of isogen.
From my experience as a light tackle pilot, catching and holding a Battleship long enough for backup and heavy tackle to land is hard enough as it is. If you go adding +4 warp strength to battleships, you’re basically forcing me to fit 2x Scrams to my interceptor, Garmur, Dramiel or ramjag, at least one of which must be a faction model. Going into scram range is dangerous enough as it is. Catching a Battleship in lowsec would be nigh impossible, especially with this bonehead concept that a scram should only shutoff an mjd if you reach the warp core strength threshold as well.
In big null bloc fights, it’s an n+1 alpha damage race. Whoever can cull the incoming damage down to a level where reps can hold first, wins.
Warp core strength is useless on such fights as you’re usually volleyed clean off the field or are sitting in bubbles.
In mid sized fleet fights, especially in lowsec, all the battleships (and the bcs, cruisers and anything bigger than a destroyer if I’m reading this idea correctly) could simply warp off as soon as they start taking damage, rep up and come back. Tackle would be nigh impossible to hold on more than a couple of enemy ships.
Nullsec ratting would be Dominix’s Online.
Right now, you can only fit one warp core stab to a ship, it’s an active module and it comes with some severe drawbacks. This was implemented after Ishtars were fitting two of the old style ones and simply moonwalking out of tackle.
You want to give battleships two +2 passive stabs with no drawback?
NO. Just, no. Adding warp core strength to ships just isn’t good for anyone. I can accept it on Ventures and grudgingly accept it on Deep Space Transports, but nothing else tyvm.