I hear you OP!
I'm currently reading this book Shattered
which has been an eye opener!
DS is now 7, but I clearly remember suddenly finding my modern, equal marriage catapulted into the 1950's by a combination of DH's and my own unconscious assumptions about motherhood/ fatherhood. Initially, I took a year's maternity leave and things seemed great, I was happy to support him by taking over the household tasks, and he seemed to feel a great urge to progress at work and was working hard to get a promotion. However, when I returned to work I found myself working two part time jobs, both of which took more than the available hours, doing ALL the childcare, and single handedly running the household. He felt great pressure to be the 'breadwinner' and was burning out in a high pressure, more than full time job.
The end result was that 3 years later both of us were resentful and exhausted, and he was using some of the EA tactics used by his own father, to keep me from confronting him over the horrific inequalities that had developed in our relationship. One day this came to a head in an awful row that became physical (the first and only time this has happened and very out of character), so I left him, and moved in with my parents.
This triggered a serious period of reflection for both of us. It's taken years of communication together and individual therapy for each of us, but we are back together and things have improved a lot. He left the high pressure, high status job and took a lower status, less stressful job. I increased my working hours to compensate the lack of income. We now share earning, childcare and household tasks much more evenly. What's worked for us at home is dividing up whole tasks, so for example he does all the food shopping/ meal planning and about 2/3rd of the cooking, whilst I do all the laundry, bedding and clothes shopping.
Even then, I still tend to make career decisions with DS/ childcare at the forefront of my thoughts much more than he does, and it still falls to me to sort out the childcare arrangements and school-related stuff. The difference is that we can discuss this openly and calmly, and we both work to support each other's needs and long term aims. We're aiming to rebalance again when DH comes to the end of his current work project in a year's time, so he will reduce his hours WOH and I will increase mine.
We, like you, earn similar amounts as an hourly rate, even though I currently work fewer hours than him. We also both work in jobs that are fairly easy to do on a part time basis and to alter hours as needed. I recognise that this gives us a lot of flexibility that other couples don't have. We also decided to stick at one child, for the sake of the mental health of all three of us!
I hope you are able to make some progress with your husband. It turned out my DH felt just as trapped by the the whole 'breadwinner' role and expectation as I did by the 'mother' role. A lot of this is subtle societal pressure and can be difficult to recognise. We turned our resentment towards each other and that did a lot of damage. I hope you are able to find a less traumatic way forwards!
(Crikey, that was longer than I planned!!)