Okay, so after a ton of listening to this, I've finally been able to tab this song, 
which is my favorite on Supermodel.

The main riff you here at the beginning and throughout the first part of the verses is this:

/ = slide

e|------------------------------------------------------------------------|
B|------------------------------------------------------------------------|
G|---88888-3/-88888-3/-88888-3/-88888-333-5555553-5555553-5555553-5555553-|
D|---88888-3/-88888-3/-88888-3/-88888-333-5555553-5555553-5555553-5555553-|
A|---66666-1/-66666-1/-66666-1/-66666-111-3333331-3333331-3333331-3333331-|
E|------------------------------------------------------------------------|

You can figure out the strumming patterns - those are the notes you have to hit.

The riff behind the spoken word part goes like this:

e|------------------------|
B|------------------------|
G|---35-------------------|
D|-------35-55------------|
A|-------------5--5500----|
E|------------------------|

And finally, the solo (which was the harder part to tab, there may be some inaccuracies) goes like this:

/ = slide

* = pick fast

e|-------------------------------------------------------------------------------------------------|
B|-------------------------------------------------------------------------------------------------|
G|--999-10-7/9/7-5-578-12*12*12*12*12*12*12*12*12*12*12*12/10/12*12*12*12*12*12*12*12*12-12-12-12--|
D|--------------------------------------------------------------------------------------8--8--8----|
A|-------------------------------------------------------------------------------------------------|
E|-------------------------------------------------------------------------------------------------|

-----------------------|
-----------------------|
----8---8----10-10-10--|
10---10--10/9--9--9--9-|
-----------------------|
-----------------------|