Here are the verses in question, supplied me by Linda Allen today:

New verses to Annexation
by Linda Allen, 2004

Yankee Doodle likes to drive
His SUVs and Humvees
But having Arabs own the oil was
Just a little clumsy

So Yankee Doodle went to war
With oil-producing nations
To save the world from evil, and to
Feed our filling stations

Yankee Doodle, Doodle-oo
Yankee Doodle, Dandy
Thinks to own the whole wide world
Would be so very handy

Yankee Doodle likes his jeans
And likes his shirts so cheap-o
Owning workers round the world
Would be so very neat-o

Yankee Doodle has a plan
For global domination
First he send the soldiers, then it's
Corporate annexation

Yankee Doodle, Doodle-oo
Yankee Doodle, Dandy
Thinks to own the whole wide world
Would be so very handy