This statement is false. Even if everyone who came to America from England was Anglican (which they were not) there were also people who came to the American colonies from places other than England. There were actually many religions in colonial America, not just one.
One way to remember this is to remember that the Pilgrims who famously landed at Plymouth Rock were not Anglican. These were people who believed that the Church of England was too much like the Roman Catholic Church. The Puritans and Pilgrims that we see as founding fathers of the American colonies were not Anglican.
Another thing to remember is that the colony of Maryland was founded in part as a place for Catholics to go. Catholics were not always popular in England and sometimes faced persecution. The founding of Maryland gave them a safe haven in the Americas.
Third, Pennsylvania is famous for having been founded by Quakers. The Quakers were a sect that was opposed to both the Church of England and the Puritans. They were not Anglicans either.
Finally, we have to remember that many Africans were brought to the American colonies as indentured servants and then as slaves. These people were not Anglican. In fact, many of them were Muslim.
For all these reasons, your statement is false.