Hell, I think *all* sports should be totally integrated. Let's get the women out of the sports ghetto where they are stigmatized as inferior. I think a woman should have equal opportunity to compete for spots in college football, the NBA, all sexes tennis, whatever. As to how many would actually make the rosters, however, I'm guessing offhand some college football kicking specialists, and perhaps one or two kickers into the pros. A few golfers, the Williams sisters and a few other tennis players, and you just *might* see a 3 point shooting specialist or two in the NBA. Soccer, I have no idea, probably more chance there. (There'd be more in each of these sports on the college level)
Baseball is an intriguing area for women to compete on an equal basis, college, Olympic and pro. There are players competing there now without overwhelming size, speed or strength. As to how many women would win medals in a fully integrated Olympics? Some in integrated gymnastics, figure skating, other sports where form counts more than speed or strength. If an ultramarathon were added, they'd contend for that all the time. Perhaps some in baseball/softball/soccer?