"Never assign to malice what is adequately explained by stupidity or ignorance."
"Great stories will always return to their original forms"
"Nobody is more dangerous than he who imagines himself pure in heart; for his purity, by definition, is unassailable." James Baldwin
Then I hope you are following the IDW comics. Tom Paris is part of the crew in "Star Trek", Torres is in "Defiant" (along with Ro Laren, leading to several discussions about the Maquees), and the current "Glass and Bone" arc includes guest appearances from Janeway, Kim, and the Doctor.
In fact, those 2 series are the best reason why Marvel should not even try to do Star Trek-style comics: because there's just no way they could do it better than Star Trek itself.
I could see a Mandolorian or Firefly or Space bebop type show with Carol. But I doubt Disney will do it though