Firstly, car batteries are definitely DC.
Secondly, AC Doesn't burn more severely: The reason it's more dangerous is because the alternating voltage causes repeated muscle contractions which can make letting go of the source more difficult, whereas DC produces a single muscle contraction.
Finally, whilst it's true that it's current rather than voltage that kills, you have to take into account ohm's law (I=V/R where I=Current, V=Voltage and R = Resistance). 60-100ma (approx) can be a fatal current. You then have to consider skin resistance to find out how much current will flow: Wet skin has a resistance of approximately 1,000 ohms, dry skin around 1,000,000 ohms and broken skin can have a resistance as low as 500 ohms.
Even taking the worse case scenario of broken skin, the current you'll get from a 12v car battery is only 12/500 or approximately 24 ma, which is nowhere near enough to kill you.
The final thing you have to consider is the path through the body: Just touching any live connection of any voltage is harmless if you are completely insulated from ground (which is why birds can sit on high tension voltage lines without frying) - you need a potential difference for a current to flow. This can be between two terminals of a battery i.e. touch both), or between a voltage source and ground