Wait, hold on... you've spent $105,000+ on education... why the heck are you a car salesman? Put that education to work! Or did you drop out and have nothing to show for it? Spending that kind of dough on education leads me to believe you went to law school or ivy league. I feel like you're underutilizing your potential here...
1. Implement suggested changes from your previous case study. As MMM, Paula Pant, and many others remind us, you simply need to increase the gap between what you earn and what you spend. You can do this by earning more, spending less, or both. I suggest both. (btw, face punch for leasing a car & having another brand new one. With as much debt as you have, you should be riding a donkey to work).
2. Get your wife on board. Sounds like she's cool living the good life while you slave away and work until you die which is exactly what's going to happen if you don't change your car situation. Get mad about this. Do something. Would she be cool with it if it was the other way around? Or is she entitled to a life of luxury because she gave you six beautiful children? You must agree on every purchase/expense or it doesn't happen. It sounds like you're already not home much because of your current full time job & long commute. If you're the sole breadwinner, it isn't fair that you spend a huge part of every month/week/day/life energy earning money that doesn't buy you any freedom -- paying off debt or investing to create passive income. She could be sabotaging you if you're not on the same page about your finances and goals. Being a stay at home mom is a full-time gig, but if you die she's screwed...didn't you say you've already been hospitalized twice?
2a. Separate your finances. Take control. Here's $X for gas, groceries, utilities, etc. The rest is going towards our debt. You want/need more? Get creative. You can get a job in the evenings. I'll watch the kids, cook dinner, etc. and you can go to work. If all the kids are in school, she can get a job as a yard duty or work at their school for a few hours during the day too.
3. Relinquish control of all of it -- go ahead and earn more money before you're both on the same page. I suggest a cleaning company/janitorial service. You can work evenings and clean offices or be a PM janitor at a nursing home. All you'd be doing is cleaning up spills, taking out trash, and restocking bathrooms & common areas. If you're lucky you'll learn how to strip & wax floors or other carpet/floor care (in a nursing home). That stuff is actually fun IMO and you can later buy your own equipment and run a side hustle doing it yourself.
You also said 'house rent' in your case study. You can get a part-time gig at an apartment complex doing maintenance or being a porter. This might qualify you for a rent discount on a unit there & decrease your monthly expenses. Or she can be a leasing agent at a community. Part time work & eligible for commissions.