The question has been asked by a pro-environment Christian organization, but I don't buy their answer that Jesus would drive "the most fuel efficient and least polluting vehicle available."
I've never met Jesus (unlike some people I know), so I have to make some assumptions about Jesus' motivations. First of all, I presume that Jesus is a humble person who doesn't desire to show off to the world how fancy his car is. Secondly, I presume that Jesus' primary goal in life is to help those less fortunate than himself.
Given the above, Jesus would drive the least expensive car that would fit his needs. Jesus would use the money saved to help the poor and less fortunate. Jesus would look at total cost of ownership, so he would want to buy a car that sold for a low price, wouldn't need a lot of repairs, would last a long time, and would have good gas mileage so he wouldn't have to spend a lot of money on gas.
I imagine Jesus driving around in a small car like a Honda Civic. The car would be a stick shift because Jesus doesn't need the luxury of having the car do the shifting for him. He'd rather save a few hundred dollars and have a simpler car. And stick shifts get a few extra miles per gallon so he'd save even more money on gas.
Jesus would probably buy his car used, because he knows that the biggest drop in a car's price comes during the first two years of ownership. Jesus doesn't need to show off to the world that he's a bigshot driving a brand new car.
Jesus would not buy a hybrid vehicle because he would understand that the thousands of dollars extra he'd be paying for it would not be made up in savings at the pump. The thousands of dollars saved by buying a regular gasoline powered vehicled could be used to help the poor and the sick.
Jesus would look upon yuppies driving around in their $20,000 hybrid vehicles as hypocrites, pretending to care about the environment but really just showing off how much money they can afford to spend on a car while poor people in the world are dying for lack of food and medicine.