How much baggage does Prime Trek have behind it? 736 adventures. That's enough to watch one a day for two years and still have some left over.
I don't get this argument, no matter how often I read or hear it. Why would there be a need to have watched all of it before enjoying new stuff? Thanks to my mother allowing me only one episode per week (that was when the shows were re-run on week-day afternoons), I'm still in the process of watching TNG. I'm currently in season 5, I've seen only a couple of episodes from the last two seasons. I still haven't watched the majority of VOY.
I was still always able to enjoy DS9, and ENT, and the movies.
Just because there's been a lot before doesn't mean there needs to be baggage the audience needs to know before-hand. Just create a nice and easy jumping-on point. And most of Star Trek has been an easy jumping-on point.
A new show with a new cast would be just as accessable to new viewers, if it was done right.