MY wife works 2 part time jobs that equal more than most full time jobs plus offers flexibility to work from home, if she wanted to she can easily get a normal job and earn a bit more but she would lose the flexibility we have of her working from home half of the time and calling her schedule. As far as over time it is not a ton its only 200-300 extra per month so even without overtime our base salary together would be 6800-6900 per month together gross. As I mentioned our debt obligations would be just 1350 per month mortgage and the "$700-750" tesla cost. Its actually much better than most people who have the same income but have a 2,000-2200 mortgage in California, NYC, etc. Basically for the amount we have in a cheap 15 year mortgage in Midwest we can afford a Model 3 vs living somewhere else. This wasn't really if I should get the car, I absolute understand it may not be the smartest decision but I believe we are pretty stable been spending the same amount last 4 years on 2 vehicles. Now we will just have 1 vehicle loan (Tesla) for same cost.
The question was more regarding the banks if they would give financing for 5k down with 750-820 credit score with earnings around 7000-7500 gross and only 1350 in mortgage and 100 bucks a month in credit card payments which I can just pay off immediately but those are at 0% so why pay the credit cards off if they are 0% and I can use cash for other things like investments, more 401k etc.
Have you had a car loan before? I think that is a bigger problem. If you had a 30K loan, getting approved for 40K isn't a problem. DTI is much higher on car loan, but you just have had to a secured debt before. YOu can read all about that on the exotic financing articles