The fixed cost of cars and rent is a different metric from what percentage of your budget these things are. Also, if rent is 38% and you buy a house, the 38% doesn't go to zero, it goes to bought a house. Rent is not always so much more than ownership over short periods, but 38% of your money on rent seems like a really high rent immediately pre-FIRE. I don't know how it compares to the house you're looking at.
2-3x the work driving is almost 2-3x the gas bill, and possibly higher maintenance costs. It's also 26 hours of extra time from you and 20 hours of extra time from your wife each year. Your decision is a calculation of
(gains/losses from buying the house now vs later) - (2-6% investment growth skipped) - (2 or 3)*(gas bill) - (car maintenance bill) - 52*(your hourly rate added driving) - 40*(your wife's hourly rate added driving) - (home repairs) - (your hourly rate)*(time doing house-related upkeep, mowing, etc) - (cost of house upkeep activity) - (any additional housing bills - water/sewer, oil, trash pickup)
all in the context of more or less anxiously waiting until you can stop working.
You will know better whether adding a commute to your jobs will make those last 2 years very very hard, or just a little harder, and can then assign some value to the extra time you would have to put in and whether that's all worth it for you. I didn't assume your rent was eating so much of your budget, but if your house is a downsize, buying it now should be weighted a bit more. If it's an upgrade, I would definitely wait, because in addition to the commute, your house will create its own work.