I don't think they are trying to control men. I'm not seeing any evidence of that. When I see a law that attacks women, it is very clearly targeted towards women, but I don't see anything that clearly targets men.
Society became much more complex than a tribal village where the elders decide everything, and so have the levels of indirection in how control of reproduction is wielded. The situation is also quite a bit more complicated now that populations are able to grow so far above the local carrying capacity of the land. Yet we can still trace a line back to when it was necessary for a community to collectively maintain the sustainability of their population by deciding how many children could be supported at any one time.
Drafts? They typically only targeted men, with a large possibility of maiming or death as the result.