It’s worth noting that car centric infrastructure is extremely expensive as well and requires constant upkeep. Bike infrastructure can often be made incrementally by simplying just requiring new/updated road to have bike lanes for instance
Well, try that in a city environment. It might work with some of the main roads, but we are not in Cities:Skylines here where houses move or are automatically replaced when you install a wider road. I may have to add that here is not the US where many roads are so wide that you need a car to get to the other side ;-)
More than 80% (give or take) of the roads in cities here are so narrow that two (small) car lanes plus the pedestrian sidewalks are basically “it”. The road in front of my house is, IIRC, between 5.4 and 5.8m wide - without having a sidewalk. Try adding a bike path here. And if you turn basically each and every side road into one-way roads in order to add bike paths might lead to serious acceptance problems.
The more a place is car centric, the higher these costs for upkeep will be (more traffic causing more damage in more places)
Well, while I won’t contradict your notion that more traffic causes more damage, I’d ask you to keep in mind that one truck does as much damage to a road as 40000 cars (yes, it is that much, the damage factor is x^4^, with x being the relative mass, and the calculation base being a normal European car, not a six ton American pickup). So, as long as you want to have your supermarket stocked and your amazon order delivered, the damage created by private cars is simply irrelevant.