Given that we can't do that, I choose then to continue my hobbies, take more walks, try to declutter my place, improve my health, lose weight, look for comfortable chats with my daughters, wife, friends…
I'm not sure where you see men and women not trusting one another. If I had to guess it would be that you perceive this from things you have seen on the internet?
I find the internet is kind of like that silly cave in "The Empire Strikes Back"—where you find only what you bring with you. Try looking for positive things and people and see if you are not rewarded. (And if you cannot, just drop the internet completely. I have a friend that I think checks online for about 30 minutes in the morning and then he's done for the day.)