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Tooth pastes not only clean, but also leave a protective layer against tooth decay thanks to the fluoride that they have, so stop making your own tooth pastes at home.
Hey, it's not intended for using it inside a car, but outdoors, etc.
Glue several layers of cardboard until you get the desired thick. Use liquid glue, avoid those bars glue. Imagine that if you are using 1/4" card board, you only need 4 to get 1", which would be more than enough for what you need to do.
I actually thought two things, and almost forgot the second one. Why not using a little dc generator instead of the ballbearing? since we only need only about 30 ma, maybe the little generator will be able to generate and put out what it's needed when it's rotating at enough rpm, is not it great?
It surely should look nice when spinning. What I don't like is that there's no on off switch, instead of putting one, next version you could add something to switch on the lights only when the thing is spinning, just like those yoyo toys you may know.
It looks like 1/4" metal rod. It should be not big deal to bend it using a press or some kind of clamp, so it does not move once you apply force to bend it. Go to home depot and get some zinc rods, they are very cheap.