I have done this; financially its a clear win. But how easy it is depends a lot on your location (I live in the Greater Boston Area).
I'm married. We spend roughly $40/year on Uber, and $200/year on car rentals (mostly to go visit my parents in NH). We both have free transit passes through work. I almost never use the pass though, and just bicycle everywhere, which is generally more convenient.
Owning a car would cost roughly $1,000 year in insurance, plus about $400 for excise tax, registration, parking permit (I have no driveway; if I did, I might be able to rent it out, so there is a cost to consider). Operating it would cost probably .20/mile for a fuel efficient somewhat older car. Parking here can be expensive, depending on where exactly you go. But generally driving to the places where parking costs a lot is just sort of stupid.
As for the bicycle, I do all my own maintenance on both of them. It comes to around $150/year, but $50 of that is subsidized through my employer.
So, it saves about $1,200/year to not own a car, if I did not drive it at all. Roughly double if we were a two car family.
But I'd add that here, for local trips at least, riding a bicycle is just more convenient. I don't have to worry about parking, traffic, bus schedules, or the location of subway stops. Most of the things that people think they "need" a car for are actually easy to do by bicycle; grocery shopping (or most other shopping), transporting children, etc. Everything I need to visit on a regular basis is within four miles of my house, and a car just is not very useful for getting to those places. This may not be true every where.
Also, I'd add that people do not need to be in climate controlled cages at all times, and in fact will not melt if the temperature is over 90, or dissolve in rain and snow. Those things are all easier to deal with than the hassles of a car.
Regarding dating, I've been married for a while. But I didn't have a car when I met my wife; neither did she. Many people here do not own them, so its not really a big deal.