How much tougher would it be to get into West Point being a gay white male?
Sexuality is not measured in the Whole Candidate Score (WCS) used to rank and appoint candidates, so it is not considered. There is nowhere in the service academy application process where you state your sexuality, so it is a non-issue.
http://www.vanityfair.com/news/2015/06/being-gay-west-point-after-dont-ask-dont-tell
Here is a link to a vanity fair article about being gay at West Point. Additionally, West Point is a huge majority white and male, so it seems that you will fit right in.
Good luck with your apps!