Who is anyone to say how anyone "should" feel? Or "should" do anything? If you had said "more emotional than it could be" you'd have a point.
Cars provide people the ability to travel almost anywhere whenever they want. They also provide shelter and become personalized spaces. I think it is natural to have an attachment to something with those kinds of roles. They speak to very primal instincts and needs.
I have a pretty strong attachment to one of my bicycles. Irrational? Sure. Human? You bet. The same goes for my best (for me) trumpet.
When the economics of not owning a personal car make sense, they will become less important and there will be less attachment to them in this way, like folks in NYC have towards cabs.