Putting my serious face on now when you look at the number of science fiction shows that have included homosexual characters without even making an issue of it and Trek can only do it obliquely in a 'special' cause story involving tri-sexual aliens or Trill symbionts getting back together with former spouses after a host gender swap the show does have a really crappy record for a fictional universe constantly waving a liberal flag.
On the other end of the daisy chain we have bloody Torchwood making out everything in the universe isn't just open to any form of sex but under some kind of contractual obligation to perform at the drop of a hat.
Star Trek leads can only be that wanton in mirror universes and only if they are female and dress in bondage gear.