Broken Base: Between the fans of their older stuff (The Lonesome Crowded West, The Moon & Antarctica), and the fans of their newer stuff (Good News, We Were Dead), although they overlap.
Critical Dissonance: Good News is regarded better by fans than it is by critics, though it's still fairly well regarded by critics.
Face of the Band: Isaac Brock. Most interviews of Modest Mouse are just him, and given that the band has changed its lineup so much it's obvious he is the frontman.
Funny Aneurysm Moment: The line "I broke every bone in my goddamn jaw" from Might is pretty amusing seeing as Isaac Brock did just that three years after writing the song.
True Art Is Angsty: Their most critically acclaimed album, The Moon & Antarctica, is probably their most cunningly stark and depressing one, helped in no part by the absence of vocals on many lengthy portions of song. In general, they are decidedly not a happy, fun band.
True Art Is Incomprehensible: Their most critically acclaimed album, The Moon & Antarctica, is also probably their most mindscrewy. Oddly enough, it's mostly because they balance on a precipice between "oblique" and "foggy as London". A common theme on all of their albums.