Thanks for the topic. You are describing lots of the dilemma's we have been through over the past couple of years. Unfortunately there isn't a way that IS fair. You have to find one that feels fair for the 2 of you. For me it really helps he gives me a lot of (financial) support building up my own business. I have a website helping professional working mothers combine work and family (
www.mumandcareer.co.uk). It is not for profit, and is more of a hobby than work I suppose. It makes me feel professional though, and keeps me in the loop. If ever I need to, it would be easier to return to paid work, which is good for the family not just for me. On top of that it helped getting more flexibility by getting a fixed babysitter. My husband is away so much that I never seem to get an evening out at all, when he promises to be home he isn't there after all. Initially it felt like too much luxury. However, to me it feels like she is just doing what I assumed my husband and I would do jointly, or perhaps what others get from a grandparent that lives nearby. No longer feel 'jailed' at home, is very, very nice and an amazing luxury. I would rather have the fixed babysitter than expensive holidays. But that is different for everyone of course.
Find out what it is that your wife really needs. Find out what it is that really makes your wife so angry that you can't even talk about the topic. Perhaps it will make her angry at you. Perhaps she needs to shout for an hour first, and then cry. Perhaps you need a series of evenings to talk it through. (We did, and scheduled them as well, sounds weird but I do know that eventually this topic would have cost us our marriage, so worth a few hours investment, right?). We had ground rules for the evenings talking it through: the person who speaks get to speak uninterrupted. The other person listens and tries to understand. The person who speaks is right (although they can't attack you or blame you). They can talk about the situation and how it makes them feel. Next you get to respond. How does it make you feel to see them like this? What is the situation from your perspective?
Many years of feeling I had drawn the short straw in our marriage, and I had been the one giving up and giving up more, made me certainly feel angry. Understanding his feelings helped. Having him acknowledge that he knew it wasn't easy for me helped a lot too. And of course some practical solutions.
Mind you, all the top women I have interviewed or spoken to for my website mention they come home from a very demanding job at 6, feed the children and do bedtime, then return to work (on line). Just because they want to spend some time with their kids and give their house-husband a break. Often they run most of the weekend activities too while their husband has some time with the guys at the golf club. Personally I am not sure if this is the right way to go. But something different works for each couple I guess. It has a lot to do with what you expected of each other when you got together and planned children. That's why you need to do the talking.