From the FIRST Iraq war rather than the second. The terrifying thing is how few words would have to be changed to update it!
Tune: McAlpine's Fusileers

Out on the sand we soldiers stand and await the call to fight;
Whilst above, the hum of the GR1 can be heard by day and night.
You may wonder why 'neath a foreign sky we risk our lives out here.
But you'll know who to blame when you hear out name – we're the Texaco Fusileers.

Major and Bush say without a blush we're the price they have to pay;
And the Sun and the Star from miles afar say they're with us all the way.
But those who said that are safe in bed when the missiles whistle round our ears.
And the ones on high aren't the ones who die – it's the Texaco Fusileers.

And if we fall at our country's call and the hope and the glory fail
Don't tell our wives we gave our lives for justice to prevail;
But on our bones just pile up stones and carve on them for future years:
'On a foreign soil we died for oil. We're the Texaco Fusileers.'