Wait so I'm confused, are you trying to make JME compatible with your current video card driver or are you making your own drivers entirely? Because the first one I have no idea how to do, but it shouldn't be too difficult. The second though I know how to do, but it's EXTREMELY difficult, mainly because of how secretive graphics companies are.
First you have to get very extensive information on the card you're using. This means register level access, memory stuff, card management, a bunch of ick. Good luck finding this information, I have a bunch of graphics chips sitting around collecting dust because I have zero information on them. Companies never tell you this stuff, i know this because I've contacted ATI and S3 Graphics for information. S3 never replied and ATI sent me through a loop and gave me register information for an ancient core that I didn't even request for. I can't even get something as simple as a pinout diagram. The only GPU I do have information for is one from an old playstation (the original one, not one of the newer ones).
If you do manage to pirate that information without getting caught (who knows, maybe you'll get lucky and they'll just hand the information over), then next you'll have to learn assembly language and C. Already know this, then more power to you. But you'll have to find out what code to do to get the card to do what you want, and how you want it. Someone in the forums posted a video about what it's like to be a programmer, using a simple peanut butter and jelly sandwich as an example, maybe he can enlighten us.
THEN you'd have to debug the driver. I'm not sure how this is like, but being that my graphics driver has brought down my entire system numerous times, I'd imagine it's pretty difficult.
And once you get a working driver, you'll have to most likely battle the company of your card in court, as they will more than likely sue you. They keep this information a secret, I find it pretty stupid but they get pretty butthurt when the details of their GPU is released to the public. If you manage to succeed in all of that then I'd be super impressed. I'm not trying to say it's impossible, because it is possible. It's just not practical at the moment. I hate it too, trust me.
Keep in mind all of that is if you want to make your own GPU driver. Adapting JME to work on your card should be way easier and "safer", but at that point maybe a different version like suggested above me (@mitm beat me to it)?