I think Nixon's goal of building a structure of world peace (something he constantly referred to) had extremely strong Quaker overtones to it. His entire foreign policy revolved around laying a long term plan for that. His rhetoric, his speeches, it shows. He definitely was not the most conventionally religious President we've ever had, per his own admissions in private, but that influenced him there.

It's not exactly as contradictory as it sounds, or at least from his POV: it is necessary to understand that Nixon honestly thought that his insistence on the bloody strategic retreat from Vietnam would help world peace and future Vietnams in the long run, as weird as that sounds. (Remember, this was at the time of a Soviet Union that had reached nuclear parity and a China coming out of the Cultural Revolution, among other things. That there was a Communist problem was not the paranoid ramblings of Tricky.) It was something he very clearly believed aside from the concurrent cynical political motivations, according to all observers and from all documentation: I'll print a link to one conversation on the tapes showing this if you want.

Quakers are not big on dogma-there even have been atheist ones. In the California branch, from what I have heard, pacifism wasn't as big of a value as out east, hence Nixon going into WWII without strong resistance from his community or self-wrangling and his later hawkishness.