If I'm too symptomatic to be the parent I need to be, I arrange alternatives. Whether that's a sleepover, a week with the G's, a summer/winter camp, or what have you. Something safe, fun, & interesting for them... While I get on with the business of pulling my head out of my ass. Just because I'm suffering, doesn't mean I have to make everyone around me suffer.
It's a shade of grey in between the black & white 'either I'm a parent or I'm not'. Like daycare whilst working doesn't mean I'm not their parent, sending them off for some fun & adventure, while I'm stuck in asshole-mode doesn't mean I'm not a parent.
Granted, as a mostly single parent most of my son's life, I have that a lot easier than people who have partners who can pick up the slack. As backwards as that may seem. Because I have to look for other options. It's a lot harder, IME, when there is someone there who can look out for them while I take myself off for a bit to unf*ck myself. Because I feel guilty for leaving, and usually end up trying to stay too long, rather than settled in knowing that they're having fun & are well looked after for a set period of time.
Still, your wife might like the break from responsibility some time off from the kids for a week or three, too. So I'd still talk with her about it. Set the kids up somewhere fun for a bit, & the missus can have some off, and you can work on yourself.
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As an addendum... Not knowing your finances, my experience is that most great camps have scholarship options. They often require applying for long in advance, but even knowing that 3-4 times a year I had camps already set up? Helped to alleviate a lot of the stress of 24/7/365 parenting. Set up quarterly camps, some monthly sleepovers with friends & their activities (overnights at the gym, or the museum, or the theatre, etc.), built in time that I could use & count on... In addition to the periodic "Yikes! Need to find something, like right now! What's going on that's good? What can I afford / not afford not to?" <<< Also the built in time off? Helped to lessen the number of those.