I kind of get what you are saying. People want to defend their in-group when it comes under attack even when it doesn't deserve that defence.

I think such a space as you describe would need to be built upon the understanding that all genders are capable of shitty things and that no person or group of people is perfect. I don't think we have that in this world. What we have is a world that's unfair to everyone, and instead of acknowledging that things need to change for everyone, people are instead bickering over who has it worse and who gets the blame. Blaming this group or that group for all the problems that exist.

What we have at the moment is almost a cold war between different groups of people. Some people who only care about women, others who care only about men, and a select few who care equally about both. I am sure there are other situations where this is the case too. This I think is what people are talking about when they mention the culture wars.