Truth is, a lot of societal constructs are falls.
"All men care about looks, at least a little." - false. My first girlfriend had a lazy eye and buckteeth with deformed jaw. Another had gigantic boobs with grody vericose veins that looked like zombieflesh. In fact the cutest/hottest people i've dated were by far the worst- typically very vain, shallow, and conceited. Which is something I canNOT tolerate even in small doses.
"You won't meet the kind of people you want if you go to X/Y" - You'd be surprised. Not all gamer-chicks and nerdgals stay cooped up indoors with low self esteem. They actually get out and mingle more often than not. If you tried, you'd know this!
"All women are the same." - they really aren't, and you're a bad person for thinking so. If you don't mean it in a bigoted way, though, have you considered that you're just not attracted to women? There's nothing wrong with being gay, and there's a distinct possibility also that you aren't a sexual person. Even more odd in society is a sexless relationship, but those can actually be a thing and very healthy. I've been with people I found so physically repulsive that I couldn't find them attractive, but it was still a very good experience for both of us. You just don't have sex. It's that simple. Turns out there's lots of other things to do to be close, bond, and develop something too strong to be called a 'friendship' without having to take it to the bedroom.
"Hookers aren't people." - This one really infuriates me. Ask any actual prostitute and you'll find out that they all have likely been 'rented' at some point for a non-sexual encounter. Sometimes, a guy just wants attention. We act like only women want to be noticed and appreciated, but men do too. We're really not that different. We all want to be liked and admired. We're all human.
^ = Axle's tips for being happier, not necessarily happy, but a lot better off than you would be otherwise.
PS: Girls aren't attracted to guys who are fit because they're hot. Usually it has more to do with the fact they have the self-esteem and dedicated to work out. It shows they can invest effort.