Many feel that the women should not play with the men because they have their own tour. So, lets' look at why they have their own tour. probably 95% of the women cannot compete with the men. Some feel that none of them can. (I believe they are wrong)
So, since they supposedly can't compete, they are then by default lesser players. Being lesser players, there should be no problem with them 'stealing' money from the men. If they do, then just who is the lesser player? And, being a lesser player than the women, why should they be entitled to any money?? That argument just doesn't work.
Since the U.S. Open does not have a limited number of players, the women cannot be taking any spots from any man. So, that arguement doesn't work either.
That only leaves one argument. That some of the men are scared of getting beat by a woman. Well, to that, I say, if you are scared of getting beat by a woman, what are you going to do when you have to face Archer or Efren? If your game is so low that you are playing your opponent instead of the table, you don't deserve to win anyways. And, if you are that insecure, that you fall apart playing a woman, you will never make it to the top levels of pool either.
I say, if they have earned it, let them play! The men can't play on the womens tour for the exact same reson they can't play on the amateur tours. They would dominate.
That is the problem with the womens tour right now. You have a handful of women that can compete with the men that dominate the womens tour. The rest of them really have no chance. But they still show up! That's more than the men do! Many mens fields are not full anymore just because they feel they can't take first. That doesn't help pool at all.
One more thing, if it wasn't for the women's tour keeping pool alive to the public. I don't think there would be much of anything for the men anymore.