Not necessarily against it but we need the ERA passed first. If we have a government swayed by evangelical Christians, I shudder at the thoughts of how women might be manipulated in a system like that. The ones that volunteer have a tough enough time and they are a bit more mentally prepared.
I also don't see this working without some serious stretches like calling youth orchestras, math and science research and such national service. You'll also have to look further at what of that can be done at the government's behests and which represent the sort of talents that would be hindered by interference from outside.