Brilliant thread, although OP i'm really sorry you're suffering enough to have started it.
When I had DD, I had no car. Public transport involved walking along a road with no pavement and blind corners, to catch an infrequent bus to the nearest village, where I knew no-one. To get to an actual friend would have been two buses minimum, probably an hour's journey in each direction.
My husband, who is a lovely, supportive, feminist ally of a man, had the car. To get to work would have taken him an hour and a half each way by bus, whereas pre-DD I worked on the direct bus line so we only ever needed one car. So it was logical for him to keep using it.
But. I say 'work'. He was a PhD student who did a little bit of paid work on the side. He had a scholarship, which is what we lived on (plus my savings, since I was the higher earner at the time) so this wasn't about money.
He knew I was miserable. I knew I was miserable. At no point did I put my foot down and say - you need to arrange to work from home sometimes so I can have the car and leave the house. At no point did he offer that - he was new at the 'job' and wanted to be seen every day. I just dealt with it. But i was lonely, and isolated, and miserable as hell.
DD got older, I went back to work part time, I made local friends and it helped. I had a routine going whereby he dropped DD and I at a park in town in the morning, and we spent the whole morning at various kid-friendly things, and went home, and it helped. But I was still reliant on him.
Fast forward to this pregnancy. I now work part-time, and on the two days I'm at home with DD, I have said: I cannot push a stroller up these steep hills (in late pregnancy), the buses are unrealistic, you need to work from home BOTH of the days I am with her. He said yes. I have said we are getting a second car. He said yes. He said but can it wait until a month post-partum when we'll have more savings, I said sure but then it is your problem to work out how to get to work during that month, I have first dibs on the car. He said yes.
I am not leading up to "we just need to stand up for ourselves". I am leading to, it took me years to feel that I had the right to demand an accommodation from him that represented basic autonomy, and I was already a feminist, but I had absorbed a number of things about being a Good Mother that I didn't realise I'd absorbed.
Being free is not just a legal status. If you don't have the money, the emotional support or the physical ability to exercise that freedom, I don't think you're free. There's freedom from, and freedom to, and when you have a baby you lose freedom to.
And when we live in a society which doesn't provide basic child-care facilities in public, which frowns on children being children in publilc spaces, which doesn't encourage us to help each other or provide respite for those in dire need but instead judges how perfect we can be by how little we complain, I'm not sure we've got freedom of movement. If childcare is unaffordable and employers (of male or female parents) refuse to be flexible and male partners won't even consider taking a flexible or part time position to compensate, I'm not sure we have economic freedom. If we're all so busy being perfect mothers and keeping the house pristine in the wake of our absent husbands, too busy to get together or to babysit for one another and isolated from our families, as the OP said, do we have freedom of association?
And, having had our freedoms to taken away, isn't depression a fairly logical, sane response?