I'm a little confused by the criticism @Slarti has received on this thread. This seems to be based on his gender and a series of assumptions made about his life, which is a tad hypocritical. If he truly does share the burden of balancing childcare and work with his partner (and, at the moment, we don't know if this is the case) then his experience should be no less valid because he is a man. The divisiveness is very unhelpful.
My DH and I split everything equally; there is no gender divide in our relationship at all. I am on ML at the moment and we have carefully planned how we will do everything when I return to work FT to ensure that all childcare and career needs are met equally between us. We work completely as a team. I agree that this is unfortunately rare, but is becoming more common, I think.
I am a lawyer. My employer is hugely supportive of women seeking flexible working, but also of those who choose to return FT - I'm very lucky in this as I know that this isn't everyone's experience. I have faced no judgment from anyone either outside or inside work for my decision to return FT.
My DH, on the other hand, has received masses of judgment for considering looking for PT work so that he can take on a primary childcare role. A youngish male colleague of mine (a father) fairly openly suggested to me that my DH is somehow less dynamic / interesting or less of a man for choosing this route. My DH brushes it all off but this common attitude irritates me hugely.
Equally, at my workplace, men who do seek flexible working are much more harshly judged than women. They are thought to be less career focused than women who choose the same route. They are also less likely to be granted flexible working.
Society is not perfect. I do think it's important to appreciate that, even where the man does wish to take on a much more equal role, there are challenges faced on both sides.
OP, your situation sounds tough. I have nothing to add to the excellent advice you have received on here, but I hope you manage to find a solution.