Just did some research on the song.

Here's a link to the song. And here's John Denver's version.

According to this page which has the chords to this song, the chords are actually "E-C-D-E" rather than "E-G-D-E":

A[E]merica, America, and the [C]dream [D]goes [E]on.

The "E-C-D-E" and "E-G-D-E" progression are both in the Paxton song, too. They sound similar.