Speaking as someone whose (relatively few) sexual encounters have happened more by accident than design, I have to wonder what would happen if men stopped actually thinking about sex as the goal?
You know, have lunch, take a walk, do a bit of shopping, maybe dinner or a drink. Spend time with somebody without any ulterior motive other than spending time with them and maybe getting to know them better.
As a man, I've got more friends than bed-partners out of this approach, but I've had far less hassle, trauma and general emotional hassle than my more predatory contemporaries. Fair swap, I'd say!