Zappa is quality... so is TV On The Radio (Who toured with the Faint, im a huge Faint fan if anyone knows of them. Electro-rock)
Hmm lets see.... I dunno if anyone knows about Shpongle but they are one of the groups in my life that redefined the entire way I look at music. Really tribal, psychedelic ambient (sometimes psytrance-ish but always organic, never "techno" feeling) producers.. include a lot of drums and trippy structures in their music. To most of the American population, they'd definitely be considered "weird", which makes me like any artist that much more.
I dunno, I cant really name any "rock" that I think would be considered random or weird. Even the really electro/futuristic stuff like Faint and Orgy, its all fairly acceptable and not out of the norm I guess. The world of electronic music is where the path shoots off the regular acceptance level and becomes an "abnormal" type of sound to American culture as a whole.