Also, does your wife also work? I just can’t fathom how it isn’t distracting. My kids are two and five, so someone pretty much always has to be watching the two year old. You can’t fully focus on something while watching them. Even my daughter, who is five and can play by herself, is going to need something multiple times an hour; food, a different toy, to go to the bathroom, help getting something, etc.
My wife is a physiotherapist, and due to health privacy regulations cannot share space while talking to clients, which is constant and ongoing. So when the kids are home they're with me, behind me, playing with lego/duplo.
The difference between my daughters' jabber and my coworkers' jabber is that I can safely ignore my daughters. I cannot ignore my coworkers.
Also, the choice of whether one or both parents work is about more than just money. For one thing, it is basically choosing to end your career; we might not wish it to be so, but getting back in the workforce after being out for years is very difficult, and will require moving down the career growth ladder quite a bit.