I second caution. This isn't just a financial decision (you're not a single renter working for a while and saving money by moving however temporarily), it's a lifestyle decision for your whole family. So...is your whole family stuck out in the burbs and would everyone benefit from the close-to-work location by getting to spend more time together and take advantage of all the (presumably urban centre) city have to offer? How significant is a paid-off house to your RE plans? Will your wife need to work at some point and would she also have a commute?
In our case, we have long commutes. But the once the mortgage is gone, DH can pretty much instantly retire and then we know this is the area we want to retire in. It's where we want to live and where we would want to raise our kids if we had any. We did the urban MMM thing for years, and emotionally, it's just not for us anymore.
You're pretty close to having the house paid off, what difference will that make to your lives and FIRE plans vs having a big mortgage payment in the budget? Will your number of years of having to do that commute drop? If you've got another 15 years of commuting either way, then moving is indeed a no-brainer, because you'll get to spend so much more time with your family over those years. The question about job loss is important too. If you lost your job, are you more financially secure in your current location with low housing expenses? Or are all the abundant job opportunities in the community you're commuting to now and it would benefit you and your wife to be closer to them? Which option feels more resilient?