I wouldn't say racist (?? Black and white men fighting together are racist?) mysoginists, but tough men that aren't posterboys for your designated driver would probably be a good description.
If you want a competent fighting force, you have to appeal to tough young men. You don't do that by putting a dude in a dress on your promo material, to put it crassly. Men don't want to go into an environment supposedly to "get shit done" only to have to file paperwork and tippytoe on eggshells with everything they do or say. You don't have to like it but these are the facts. The military gets weaker when you alienate the most able bodied in your society, it's pretty straightforward.