I haven’t driven from LA, but I’ve driven there from Seattle twice.

I’m sure it could be worth it if you found some interesting things to see along the way. Yellowstone is definitely worth the trip. The last time we went through the south entrance which took extra time, but it was well worth it to drive over Teton Pass and to spend the day in Grand Teton National Park.

Depending on what you want to see in Yellowstone, you could be doing a ton more driving once you’re there. So, if you don’t mind being in the car a lot, go for it.