There would be hardly any violent crime as most is committed by men.
So yes the prisons would be empty.
But the idea that it would be a cooperative utopia is laughable.
Women engage in conflict, just rarely physical conflict.
They use in group and out group hierarchies to devastating effect, they engage in reputational destruction, utilise shame, and ostracisation brilliantly to control individual and group behaviour.
Of course none of these are crimes at an individual level, but that doesn't mean the impact cannot be devastating.
I think we'd probably have a totalitarian state of control through the means above, to ensure conformity, with those who didn't comply shunned from participation.
But yes probably not much murder.
We actually require the threat of violence, or the utilisation occasionally of violence, to prevent real evils happening, the removal of the option of violence from society would not mean utopia it would mean evil in all other forms could not ultimately be halted.
Men can use violence for evil and they fill up the prisons, but men who are prepared to use violence are necessary.