Ummmmm, No....
Edom is quite clearly The West/Christianity/Rome (America).
This answers the question of why "America" isn't "in the Bible." It is, and its name is Rome/Edom.
We see the foretold Esau & Ishmael alliance growing every day, most obviously in Europe.
If you believe the son of Esau are Roman or the USA, you are truly nuts. Have you ever been to southern Jordan or Saudi Arabia? The Bedouin can trace their relatives back 2000 years to Esau