The car is probably, as you say, your old life, but specifically your old parent-led life. We were not created to be parent-led all our lives but to mature and strike out alone. You feel embarrassed because you are an adult but find yourself being led (driven) when you know you are the one who should be pursuing your own life. It's possible to continue in a parent-led mode even after your parents are dead only then we allow others to assume that rôle. At any rate, that old life 'dies on you' (car coming to a halt) because it cannot sustain your spirit. Looks like you are at a junction in your life, of being under the necessity of making some choices.

Thank you.

While it makes sense that this is my 'parent-led life', I'm wondering how it might fit in.. Just because my life has been that of the 'lone-wolf', independent kind. For a long, long time. I exhausted all human-effort based ways to get out of these problems that followed the family and essentially were due to familiar spirits and curses. I came by myself to this country and been doing things on my own for 15+ years.

3 years ago, my dad retired and I brought him over and took care of him. He was kinda un-decisive, while I am the opposite (although with all my human-based effort i wasn't able to solve the situation, as the Word tells us. I got exhausted, and in reality kinda gave up. But essentially I did nothing but pursue my own life.. although admittedly according to the world expectations).

That's why I have a little difficulty visualizing the 'parent-led life' paradigm..

Your interpretation is probably the correct one if you are an honest and analytical person.
However, if I where having this dream, I'd say that it was related to acquiescing to or involuntarily being a part of a system/world/situation, which is being driven by someone else, whatever the parents might represent (in addition to themselves, they might represent the unchristian world, assuming they are non-believers) and ultimately feeling the need for a stronger relation to Christ, replacing a more lukewarm situation with a clear religious/cultural life not determined by the fathers, but the Father, and perhaps more room for personal expression within the religion - has the grounds for growing in Christ been laid? Has such a relationship been publicly established?

Such a public establishing and confession of one's faith is a do-or-die point for many relationships and situations, but it ultimately grants much self-esteem and comfort.

I would try to get in a position where I myself was driving the car (not replacing Christ as the head of my life, but at least in this way I could drive to him).

Thank you