I think the issue can be easily thought about by using different stats.
There are more black people in prison than whites in countries with a mix of races. Does this mean black people are inclined to be criminal more than white people and should we chain black people up to reduce crime rates?
Of course this is fallacious - sure, there are more black men in prison than white men, but the idea that being black in itself makes you more likely to be criminal is stupid. So the reasons for the difference in prison population must be attributed to other factors - lifestyle, upbringing, social pressure etc, and not genetics.
So, does this mean that women do not commit more crimes because they are in fact made of sugar and spice, or because the same social pressures and lifestyle choices preclude them from committing crimes?
I'd say yes. There is evidence that domestic violence towards men is significantly under-reported, and more prevalent in lesbian relationships. this suggests that women do not commit acts of violence simply because they do not think they would win, but in environments where they are more comfortable with the potential outcome, they are just as violent as men (and often more dangerous as they are more likely to use weapons than fists)
So your question - can we "neuter" men to reduce crime... no.
If you want to reduce crime, you need to consider other factors. Is there something more in common with criminals (as I understand the majority of crime is committed by a very few people - I recall "blip boy" who was so-called because when he was released or escaped from youth custody, the crime stats would increase significantly, causing a blip in the graphs). Is there something in poverty (unlikely as there are very rich criminals too), or is there something in the detection or justice system that doesn't deter these people? I can't answer any of those, but there's probably a bit of truth to all of them, that's where you should focus your crime-fighting efforts.