Yes and no. I've enjoyed (to varying degrees) most of the modern Trek shows, but I could never get into TOS so I don't buy books from that series, or of that setting. For instance, I read Harbinger which otherwise gets rave reviews around here, and I couldn't get comfortable with the conspiracy or the characters enough to care to follow on with the rest of 'em. That said, I did buy all of the Lost Era books and have been thinking of picking up Forged in Fire on the basis of The Sundered (except that I'm already behind on my reading as it is).
That said, my support is not automatic. I foreswore from buying anymore books in the VOY-R as long as Christie Golden was writing them after the disaster of Spirit Walk; conveniently enough, those were her last entries, and I'll be giving Full Circle a shot next year (although if it doesn't improve on what's come before, hard as that is to conceive, I won't bother with the follow-up). Likewise, after the Byzantine bungling of The Good That Men Do, if Kobayashi Maru fails to impress, I won't bother picking up the Romulan War thing. I used to follow Shatner's book, but his prequel didn't interest me neither in terms of setting, and the poor reviews sealed it.
Otherwise, though... things like DS9-R, S.C.E., Gorkon/Klingon Empire, New Frontier, the offbeat but fascinating exercises of Mirror Universe, Myriad Universes: you write 'em, I'll buy 'em. I'm keeping with the TNG-R despite the rocky start because I trust in Christopher and David Mack to deliver quality products (which I think makes a good argument for multi-author series as opposed to always having the same person/team, but that's another topic).
Fictitiously yours, Trent Roman