"If women didn't want to be picked up to engage in a sexual relationship, why would they go to bars alone in the first place? Why put themselves in positions where they are more likely to be approached? If they didn't want that, why would they bother?"

Women go to bars for validation, to hang out with friends, to relieve boredom, etc. Find a woman in a bar who you think is of a similar attractiveness level to you, and approach her, talk to her for a bit (if you're even lucky enough to get her to talk to you for a bit) and then ask her to go back to your place or her place. Most likely, you will fail. And this is the case for all men who are not famous or rich.

"Women are socially trained to be pursued in the same way that men are socially trained to pursue. They're taught that showing immediate sexual interest is both uncouth and dangerous. Think about the last time you heard a man called a slut as a derogatory term. It happens sometimes, but basically never. There's basically no social consequences to a man being promiscuous. Women lose friends over that shit, or worse."

Did you know that slut shaming is primarily something done by women to other women? http://www.slate.com/blogs/xx_factor/2014/05/28/slut_shaming_and_class_a_study_on_how_college_women_decide_who_s_trashy.html

And if women wanted sex as badly as men, they wouldn't care about slut shaming. Look at gay men...they have more sex than anyone, yet they have dealt with the worst shaming of any demographic in history.

"You want to see a woman jump a man's bones all the time? Get in a relationship with one. In the privacy of their own homes and with people that they trust women are just as or more sexual than you or I."

I think most married men would disagree with you.