Men aren't complaining, so that's moot. The feminists who believe male violence is a problem that needs to be solved are women. We can give them what they want by segregation. Indeed, if men are violent as a result of competing for women, segregation might also lower male violence.

A look around heavily male dominated jobs shows many of importance, from essential infrastructure maintenance and resource extraction to farming to creative technical jobs to leadership. Women might simply not be willing or capable of stepping up in the numbers required. It's hard to even think of a moderately large corporation that's ever been solely run by women. Some kind of patriarchy might be essential for any recognisable civilization to exist. Moreover, the kind of jobs and roles that women have are important, too, and society might also need women who do them not to be diverted to male type jobs.

There's no more reason to think men can reduce male violence to the level of women than there is to think women can reduce female gossip and bullying to the level of men, and no real reason to restructure society around doing either of these things.