I don't quite know how to express this but I'll try. It is impossible to underestimate the effects of lack of sleep, depression and the sheer relentless drudgery of the early years. I was seething with resentment and frustration that I was too bloody exhausted to analyze or express. I was too tired to argue, or talk through things and I used to fantasize (really fantasize) about walking up naturally in crisp clean sheets in a hotel room. I used to fantasize about walking out, even just for one night, and not telling anyone where I was going, so that I could just pretend for a few hours that none of them existed. I never did, but at times when I had two under three, I felt sub-human. I couldn't think straight from the sleep deprivation, I had insidious low-level depression and cleaning the same square metre of floor under the high chair five times a day was soul destroying.
If I'm honest, one of the reasons I haven't had another baby is that I can't face losing the lovely relationship I have with my DH now. Two kids in, I've realized that we won't be in a good place with each other for the first 18 months at least. I thought we had it figured out after the first, and then the second baby came along and we were back to barely tolerating each other.
For me, and I'm only speaking for myself and certainly not trying to generalize for all women, I felt as if I hardly existed or mattered as I devoted myself to caring for my children. Their needs came, as they should, first, but there was no energy left for mine. I desperately wanted someone to notice me, to see me, and to mother me a bit. If I could go back and influence my Dh back then I'd suggest:
1 Prioritise my sleep - if you have a chance to let me sleep then do so, let me have a lie in whenever you can. If you are up at night with the baby do it in a way that actually lets her sleep. And don't assume because I've got one night's sleep that I'm fixed. Often a night's sleep nearly unhinged me because it was as if my body said "oh, we're sleeping again are we? Great, now you owe me 429 hours NOW"
2 Don't huff and puff about the state of the house. If it bothers you pitch in and don't huff and puff while you do.
3 When you've been away from the kids all day they can be wonderful to come home to; equally when you've been with them all day it can be wonderful to get away from them for a few minutes. One of my greatest pleasures was to cook a meal uninterrupted while DH kept the kids busy.
4 Help out more. My impression was that DH helped about 50% of the time with the older child (and I'm being generous) while I was left with 100% of the new baby and 50% of the older one. Oh and he thought he deserved a medal for the bit he did (this was my impression, probably not reality)
5 If you are taking care of the kids, do what I ask, in the way I ask even if you think it's stupid or anal or you know best. It's much easier to relax and take a break if I know that what I've asked will be done; I know that my kids are safe with you. Conversely, don't expect instructions for every little thing. Sometimes I couldn't delegate because I just didn't have the energy or brain power to spare to tell him what I needed him to do and it seemed easier to do it myself.
6 Cut me some slack. When I'm exhausted I'm a bit of a witch, This isn't about you, it's about me. Suck it up, let it go.
These are not about you and your wife; but I'm being as honest as I can about my situation with my DH. We got through it, but it wasn't easy. I'm very glad we did.
To answer your original post, you both NEED to communicate in order to have a relationship but I think you are mistaken in how you define communication. Talking is only one part of that. Doing practical helpful things is also a form of communication. Sitting quietly together is another. (Google the 5 languages of love and you'll get the drift). If you are serious about saving this relationship, and for the sake of your children I think you are, then you need to shift out of the adversarial mindset that you are in and start figuring out how to PROTECT and CHERISH your wife.