Agreed.  His singing voice is very, shall we say, distinctive.  That doesn't stop him though.  He's like the bee who doesn't know she can't fly because her wings are too small and flies anyway.

The YouTube link to Rockin' in the Free World doesn't include the last verse but those lyrics include some direct shots at H.W.  Here they are:

We got a thousand points of light [a reference to an H.W. speech]
For the homeless man
We got a kinder, gentler,
Machine gun hand 
We got department stores and toilet paper
Got styrofoam boxes for the ozone layer
Got a man of the people [H.W.], says keep hope alive [another H.W. speech reference]
Got fuel to burn, got roads to drive.

Keep on rockin' in the free world,
http://songmeanings.com/songs/view/42356/