Will gas powered cars become dust collecting fossils?

I love cars. I’m all for green/hydrogen/electric/alternative fuel cars, and know that they will eventually take over gas powered cars in the future. My question is this: what will happen to all the great gas powered cars? I’m talking about 350 Chevy’s, V8 bmw’s, 3.2 liter porches, rear wheel drive muscle. Stored in museums? Increase or decrease in value? Will we still be able to drive these beasts in 10 or 20 years? What are your thoughts?