How is that different than now?
We claim we won't force you into the military, but if there's not enough people who want to go to war, we'll draft you.
If you're a woman or minority, we won't kill you outright, but you'll have reduced quality of life without a conformative man to vouch for you. Bad job selection, lowered wages, political/legal/policing discrimination, doctors assuming malingering and not giving healthcare, etc.
People are still slapped with mental illness diagnoses and denied personal agency too. We shut down asylums, but we created mass homelessness. If you're a social rebel or outcast, you get a mental illness label that stops you from gainful employment, allows all authority figures to disregard you entirely, and if you make too much noise we'll send you to a psychiatric ward, give you court-mandated anti-psychotic injections under threat of jail, and even remove your power of attorney or make you a ward of the state.
Oh, and involuntary shock therapy still exists, by the way.