There's a tab on here that's pretty close, but it's still a little off.

This one appears to be right, according to my ears and a YouTube video of the band 
playing the song.

Capo 5th fret, all chords relative to capo.

D    XX0232
G    320033
Bm   X24432
A    X02220

Note: It appears from the video that the guitarist leaves the root out of the Bm, so 
it's: XX4432.

The intro and verse are mostly palm-muted, then it opens up in the chorus.

Intro: D

Verse:

D (xx0232@1)             G (320003@1)                  BmA
It's just a bad movie,

Bm A
Where there's no crying.

D (xx0232@1) GHanding (320003@1)the key to me,

Bm  A
In this red lion.

Chorus:

G (320003@1)             D (xx0232@1)             G (320003@1)                    BmA
When the breath that you breathed in the street screams there's no science.

G (320003@1)          D (xx0232@1)            G (320003@1)        Bm (x24432@1)  AWhen (x02220@1)you look how you looked then to me, then I cease lying

G D G Bm A
and fall into silence.

That's it! The timing of his vocals is a little strange, especially in the later 
choruses, so watch out for that.