The American Revolutionary War was started because of political activism. They saw a chance to start a new country in whatever manner they pleased, and leapt at the opportunity. Even just a little effort put to really trying to get a voice in parliament would have worked fine, but instead we went and write the bloody Declaration in an attempt to rally support of other nations not really pleased with England (I'm looking at you France), and filled it with rhetoric, half-truths, and blatant lies. Okay, maybe not blatant, but they're there.
Really amazing that a war is mistaught to most American students. Okay, it isn't that amazing, I mean, you're going to teach your country's history in the most favorable light possible, but, still...
Your claim is wrong.
That's how the history is written, yes. And how the history is written...is irrelevant. Where are all these profitable, distant colonies with voices in parliament today? Australia? Canada? Technically not sovereign, but they operate as separate nations. No country in the world fits the description of the U.S. you claim would have otherwise been inevitable, and you don't give this a second thought. The oldest truism is the ephemeral nature of Empire. You let your piecemeal study of history delude you.