First EVER tab for me (apart from I belive in a thing caled love, but I never uploaded 
one)

Chord wise, this sounds right.

Fm                 Cm  Eb
  When I'm falling do--own

Fm                 Cm  Eb         Fm
  Will you pick me up  agai-eh-eh-ehn?

                   Cm  Eb
  When I'm too far go--one

Fm                       Cm      Eb    Fm
  Dead in the eyes of my frie-ee-eh-eh-ehnds

Fm (for ages)
  Will you, take me out of here?
  When I'm staring down the barrel
  When I'm blinded by the lights

The keyboard, as far as I'm aware, is just doing this as of the word 'face'

e|--------|
B|9--9--8-|
G|--------|
D|--------|
A|--------|
E|--------|           on repeat loads.

Another way to do it, is mix between Fm and Eb inplace of 8 and 7 respectively.

  When I can't see your face
  Take me out of here
  Take me out of here
  Take me out of here
  Take me out of here

As that last 'here' is held, the keyboard does this

e|--------------------------------|
B|9--9--8-9--9--8-6--6--4-6-4-6-8-|
G|--------------------------------|
D|--------------------------------|
A|--------------------------------|
E|--------------------------------|

Or you could go

 Fm Fm Eb Fm Fm Eb C# 
Cm C# Cm C# Eb

Or just take the power chord version of each (which is what they do live with the guitars)
Play this riff 4 times, but on the forth time hold the first C# you play  for the rest 
the bar, rather than continuing with the riff. (In the tab form, hold the first -6--)

Fm (hold for whole verse)
  All I believe, and all I've known
  Are being taken from me back at home
  Yeah do your worst, when worlds collide
  Let their fear collapse, bring no suprise

                    Play riff mentioned for the previous 'here'.
  Take me out of here

Fm (for whole thing again)
  Feed the fire, break your vision
  Throw your fists up, come on with me
  Feed the fire, break your vision
  Throw your fists up, come on with me
  Feed the fire, break your vision
  Throw your fists up, come on with me
  Feed the fire, break your vision
  Throw your fists up, come on with me

Then we have this little fanfare thing

e|------------------|
B|----8---9---11----|
G|10----------------|
D|------------------|
A|------------------|
E|------------------|
Play four times. the chords underneath change each time, and each chord is held for the 
bar.

Fm
Eb
C#
Eb

Fm     Cm   Eb        Fm
  Just stay where you are.

      Cm   Eb   Fm
  Let your fear subside

       Cm   Eb    Fm
  Just stay where you are

             Cm
  If there's nothing to hide

As of 'hide' do the

e|--------------------------------|
B|9--9--8-9--9--8-6--6--4-6-4-6-8-|
G|--------------------------------|
D|--------------------------------|
A|--------------------------------|
E|--------------------------------|

Mentioned above

Fm (loads more)
  Feed the fire, break your vision
  Throw your fists up, come on with me
  Feed the fire, break your vision
  Throw your fists up, come on with me
  Feed the fire, break your vision
  Throw your fists up, come on with me
  Feed the fire, break your vision
  Throw your fists up, come on with me
  Feed the fire, break your vision
  Throw your fists up, come on with me

That, more or less, is it.