Over the medium term, I'd expect to see a car market that looks a bit like the train market: all-electric cars for city driving, plus hybrids for traveling in the country or in underdeveloped areas. Fossil fuels will probably never go away entirely (certainly the military will always need them), but oil is good for things other than fuel; 100 years from now, I expect electric cars will be the usual option while gasoline-burning hybrids are an expensive curiosity.
(Or we might move to a mix of electricity and hydrogen fuel cells; Toyota's betting on this, since natural-gas refining releases waste hydrogen. Safe containment of hydrogen is harder than safe containment of gasoline, though...)