Face it, different movies have different sensibilities, even within the same franchise. The series are the same. There is no "wrong" Trek.
If so, then our story tellers can do no wrong (hurrah!). By the same logic, however, they can do nothing right either (boo!), since you can't have a concept of "rightness" without a corresponding concept of "wrongness." In a certain sense, it is undeniably true that Star Trek is as Star Trek does. What Star Trek "is" has always been evolving over the years, although though there common threads we can point to (and the franchises have shown a great deal of sensitivity to narrative rules like "canon") which run throughout Trek offerings. At a descriptive level, you're undeniably right.
Prescriptively, however, in our discussion not of what "is" but what should be, we might find that a particular Trek story does not quite fit normatively within that set we call Star Trek. We might quibble over the particulars, but I think we can satisfactorily arrive at a list of features such as the general "facts" of the Star Trek universe (e.g., the UFP, Prime Directive, Warp travel, phasers), and the outlook of Star Trek (e.g., humanism, optimism, pluralism).
If, for example, Paramount lost their minds and released a hard core porn movie as the next Star Trek release, say a film with no space travel or aliens or anything, just about all of Trek fandom (and the public at large) would agree that some things are NOT properly Star Trek.
