The British were white, English, and Protestant, just as we were. They had to have some other basis on which to justify independence, and happily they were able to formulate the inalienable truths set forth in the Declaration.
We really only came around to accepting and integrating the propositional dimension of identity into a concept of ourselves at the time of the American Revolution.
We also thought of ourselves in racial and largely ethnic terms.
Total falsehoods can be easily exposed for what they are by citing exceptions to their claims. Hence, they are less likely to be accepted as the total truth.
Thus, biologically speaking the American people are literally only half an immigrant people.
Our relationship with Mexico in this regard is unique for us, and in many respects unique in the world.
They weren't immigrating to some existing society; indeed, they often did whatever they could do to destroy whatever existed here in the way of Indian society.
It was this society and culture that among other things - including economic opportunities here and repression in Europe - attracted subsequent generations of immigrants to this country.
The other aspect of American identity worth focusing on is the concept of America as a nation of immigrants. That certainly is a partial truth. But it is often assumed to be the total truth.
The West hasn't reached its universal state as yet, although its close to it, but it certainly has evolved out of its warring state phase, which it was in for a couple of centuries.