So because it's dangerous, women shouldn't be allowed to do it? Just like it's illegal for ladies to smoke or drive?

Right, but the point isn't that a team of men would defeat a team of women (or vice versa). The point is that an integrated team would be best. If a woman is faster & more agile than any man, shouldn't she be able to put on pads and a helmet and be a receiver or running back in the NFL?

The point is, you can look at athletes on a case by case basis. Maybe the "average" woman isn't as strong as the "average" man (who knows, though), but lots of women are stronger/more athletic that lots of men.