Obviously, the series owes a major debt to Star Trek. Listening to the musical soundtrack was really interesting as I was going "Ok, there's the Enterprise theme turned inside out. Hey, here are the enemy stormtroopers and we're getting that theme from Star Wars turned inside out." ("Turned inside out" is my technical shorthand for "Let's write something that sounds like the original without actually being the original." It's a handy recipe for a pastiche.)
Of course, the whole series is a pastiche. And that may be ok. I'm familiar with many of the actors in the ensemble and overall it's a strong group. If the writers figure out how to write for them, it could be pretty good. If not, well, science fiction on Fox. What did you expect?
Gretchen observes that there's a raunchy edge to the humor that may keep parents from letting their younger kids (and quite possibly their older kids) from watching it. That won't likely be good for ratings.
And the show is playing fair with the viewers. Was there anyone watching the episode who didn't go, "Oh, look! The Captain has a pocketful of redwood trees."? It was like finding a gun and a bust of Chekhov on the mantel. Given the debt to Star Trek, I guess a bust of Mr. Chekov would have been most appropriate...
We'll see what they decide to grow up to be.