Mars Volta are good in an incredibly weird way. I wouldn't go picking them up if you're not slightly neurotic, because they'll make you that way
Ok, just to make sure we're clear, I like barely any of the bands you've listed however I hope to turn you on to some really good newish Alternative. I'll just go with a listing in no particular order... or maybe just the ones I like most to least
Yawning Man
Isis
Pelican (if you don't mind something a bit more atmospheric, also Lyricless)
Clap Your Hands Say Yeah
Yo La Tengo (don't like em, but they're pretty popular among alt. enthusiasts)
I need to know how heavy you like it, and whether you like the fast beats or the slower cymbal laden styles before I go any further...
As I said, I don't really like most the listed bands, more because of their poppish and lyrical stylings, so I don't know how much faith you can put in my taste compared to your own, but if you give me a PM with a wider variety of what you're into, I listen to 2 or 3 new albums a day usually so I'm sure there's something I could mention.