Well you certainly would have had a response from me if I hadn't missed this post.
Basically, I think it comes down to what you want to do with your camera.
If you want a back-up camera for doing "Serious photography" the D60 is the better choice, but frankly, it's still not a great choice. You'd be happier with a D80 or D90 as a back-up.
If what you really want really is a "carry it all the time in my car camera," then I think the P6000 is the clear winner.
The main reason I say that is size. The P6000 is about as big as non-SLR cameras get these days (although my coolpix 5700 was bigger), but to get the same zoom, you'd need an 18-200 or even more. That is a pretty large set-up in comparison.
Plus, the P6000 can shoot at F2.8 when at the widest angle if I'm thinking of the right camera. To do that with a D60 would require multiple lenses.
D60 hands down if you want the speed and/or quality of an SLR, and you're willing ot live with the bulk.
There's a real advantage though to a P&S that you can fit in your pocket, for snapshot moments, when you don't need the ultimate quality. I own one, and I best most of us do. I'm sorry to say, Nikon is kind of an also-ran in the world of P&S. If you're willing to go to a different brand, then you'll find a lot better cameras than the P6000.
D60. It's not much bigger than the P6000 (depending on lens) but the results will be MUCH better and when you need a real camera you will already have one.
I hate to say it but the Nikon prosumer point&shoots have been very disappointing for a long time.
If I were looking for something like the P6000 I would be looking at one of the Canons. I bought my daughter an S5 IS for Christmas a couple years ago. It's a great little camera with quick focusing, fast shutter response and quick start up time.
For some reason Nikon hasn't gotten those things going in their Coolpix line.
I recently picked up a refurbished D40x for $269 and I love it. After shooting SLR and DSLR for so many years I just can't stand using a point and shoot with slow focus and shutter response.
And don't even get me started about those tiny little sensors that they cram more and more megapixels into.
"It's not much bigger than the P6000 (depending on lens)"
I think this is VERY misleading at best. The D60 is not much bigger if you put a pancake lens on it, but to get something that even begins to approach the degree of zoom in a P6000, you would have 6 inches of lens sticking off the front of the camera, and a total weight that would be measured in pounds instead of ounces.
Don't get me wrong, I'm not saying the P6000 is universally better, but if you want something to carry with you at all times, even the smallest SLR is a very poor choice.