Manifest Destiny doesn't occur until the 1800s so it has nothing to do with the American Revolution.
Although there were many reasons why the 13 Colonies wanted independence. Here are some examples:
The Stamp Act
Religious Freedom
The Boston Massacre
and because many British Soldiers in America were invading homes, killing people for no reason whatsoever, and properties whenever they wished; violating human rights.
When the stock market crashed, African Americans were harmed because the jobs that they held went away OR were filled by white people. Hope this helped!