A transit system can almost never compete with a vehicle right in your garage taking you exactly to your destination. Unless you live in very rare circumstances, friction-free car travel will be preferable to most people. But car travel is not friction-free of course. You're setting up a goal post that's impossible to reach
That's the opposite of what I'm doing.
> The problem is people want to get someplace in your city and currently it is inconvenient for them to do so.
I agree. And we already know that "add more lanes" is a very costly (especially maintenance forever. Again, see Not Just Bikes), and we already know it doesn't even help.
> If people leave your transit system for a car it is because your transit system sucks.
No, not sucks. They just have to be subjectively a better choice for the individual.
So yes, then we agree. Money should be spent on improving alternative transport, not car infrastructure.
If people leave your transit system for a car it is because your transit system sucks. Fix that problem. (hint, trains can easily reach speeds 3x faster than cars, stops should not take too long, and there should always been a train almost here for when you missed the last one - running good transit isn't easy)