In general, I am a little apprehensive of Feynman's "sexist pig" rep. His younger sister became a physicist largely through his encouragement which tells me that his views on women in science were rather progressive, even by today's standards. He is also known for having sided with a female professor in a sex discrimination suit at Caltech - again, very ahead of his time.
I also recall that at least some of that rep came from his use of stories that were presumably sexist, such as stupid driver (woman), smart cop (man). But according to Feynman, it was his critics, not him, who assumed that the smart cop was male, so the egg was on them.
Finally, a lot of people conflate Feynman's womanizing with sexism, and I think the guy should get a break for trying to find solace in as many women's arms as possible after watching his wife slowly die from cancer.