As you move East-West, Quakerism loses its emphasis on pacifism, and becomes more conservative and fundamentalist.
Nixon was raised in what we would think of as a fundamentalist Christian household, with all that was restrictive about the Quakers (no dancing, no drinking, no gambling, severe simplicity) and little that is liberal (strong pacifism, a progressive view of the world, the equality of men and women and of all races). He attended revival meetings growing up. Oddly enough, he did have one college professor with an Easter Quaker (liberal) view of the world, who seemed to have influenced him to some degree, but he was basically raised fundamentalist Christian.
Interesting examination of the influence of Nixon's religious upbringing here:
http://www.kimopress.com/nixon.html/The author, Chuck Fager, is a liberal Midwestern Quaker with extensive knowledge of both Nixon's biography, and Quakerism in all its forms.