Make "Bigger" and more powerful ships, that are faction only.
Sadly this couldn't work - the lawls sufferers will simply do the bare minimum required to secure the "Shiniests and bestest" ship. If you're talking about introducing new ships, the only way this could achieve the desired goal would be to have them as on request ships only - but then the poor admins would have to sift through the myriad of requests that people would undoubtably submit to get their hands on those ships.
There isn't a simple answer. About the closest that I can think of would be an extreme tightening on the rules surrounding capital ships such as forbidding a battleship to engage first under any circumstances, but I'm disinclined to actually support such an idea - I'm a great believer in as few rules as possibile to enable the admins to be as flexible as possible in how they deal with each situation.