Your "beefs" are baseless.. The transporter only works short-range. They did develop "subspace transporters," but they were dangerous, malfunctioned a lot, and they're outlawed in the Federation. They had a maximum distance of about 3 light years, I believe, which isn't enough for interstellar travel anyway.
Star Wars is the universe that isn't believable. The first 3 Star Trek movies weren't supposed to BE believable.. People had unexplained powers, went into little bars filled with PUPPETS, and a little green martian with psychic powers.
I like Star Wars--it's a funny, entertaining series. But I'll always like Star Trek better, because it is more believable, more entertaining, in pretty much every way.
Note: I hate the original Star Trek, with William Shatner. I liked DS9, and TNG most.