The radical British liberal philosophies did not underpin the Declaration or the Articles. It seems such were more about undermining. It was radical British liberalism that promoted lifetime chatellization of "Blacks"--not the philosophies of those that signed the Declaration of Independence. To knowledge "white" and "freeborn" were synonymous. Most of the hardcore bitter racism seems to have come *after* 1862 when non-Christian (Neo-Gnostic) paradigms started taking America by the throat.
It might be worth considering the effects of Locke, Calvinism, etc. on Europe.