gemini,
So...your basically saying the driveway is all above the surrounding grade...this is good.
You still have the problem of low compaction. Like I said before, the dozer is designed to avoid compacting what it runs over.
I wouldn't worry too much about this though. If the soft spots are real bad, you might think about digging some of the material out & replacing it with gravel or slag. Put it in in layers and compact as you go. Then put a good layer over the whole thing. I like to use crusher run personally as the fines help it compact into a solid surface. Make sure you crown the driveway and it should stay dry & solid.
If I'm reading this right, you now have 200 feet of driveway. That's a lot of concrete. Have you thought about just putting an apron in front of the garage?