Tough spot, man. I feel for you!
We had 2 kids 17 months apart and so we know what it was like to have 2 kids under 2 for a while. Not fun at all! And the oldest loved to be awake and didn't require more than 4-5 hours of sleep (still doesn't at age 10!). But once the kids are a little older in a year or two, it seems to get radically easier in terms of parental stress. A 3 year old is much more autonomous than a 12 month old, for example. And it's more rewarding, too, because they can do so much more cool stuff at age 3 than at 12 months (at least from my guy's perspective).
So maybe give it another year or two before going nuclear.
In the mean time, just try to cope. Your wife does seem unreasonable from my POV, but I've only heard your side of the story.
I found myself as the stay at home parent when I got let go from my job 2 years ago, with a 16 month old and a 7 and 8 year old. It really wasn't that bad honestly, but YMMV. I tried to do whatever I could so that my wife came home from work, sat down to a warm dinner in a (relatively) clean house, and didn't have to bother with anything other than relaxing and decompressing from work and the commute. I thought it was a lot less work that actually dealing with work 40 hours per week.
Social interaction was pretty easy, so I had enough outside adult interaction during the week (and could dial it up or down to suit my varying level of intro/extroversion).
I'd echo what others suggested in getting some outside help (babysitter, childcare swapping with friends, grandparents to babysit, etc) so you can have a nice quiet evening occasionally or a nice weekend without kid stress. Both sets of our family live in town and literally beg us to take our kids off our hands, so we have that safety release valve in our household (though DW is more reluctant to let the kids spend a weekend away since she didn't get to see them as much when she was still commuting to work 5x/wk). Give yourself permission to do nothing, netflix and chill, go out for a movie, or whatever occasionally.
I don't have any advice on the "must be busy" attitude of your wife (if I'm interpreting that correctly). Maybe if you could somehow communicate that her drive to make your life busy too was literally tearing your marriage apart. If you're doing things right, you should be able to allocate out your waking hours to me time, couple time, family time, chores, etc. Maybe your wife doesn't view it in such analytical or simplistic terms, but that's pretty much how you'll need to do it if you're going to survive the next couple years.
Best of luck ATC!
Edited to add: PS - farmer's markets are some bullshit. Just get good produce at your regular grocery store and squeeze in an extra hour or two of quality nap time by avoiding the farmer's mkt trip. Yeah, your wife can't post awesome pics to Pinterest or whatever to make the SAHM club jealous of how perfect her life is, but let's get real. It's just overpriced fruits and vegetables. That are tearing your marriage apart.