It's pretty unlikely any car, much less an old Cruiser, is air tight enough to asphyxiate you. Think about it, if cars were that airtight you'd get people passing out, especially with a full passenger compartment.
But you will want to open windows if you can (e.g. it's not raining) because it will get really humid inside and the windows will fog. Think back to junior year in high school in the back seat of dad's Impala...
"Stand your ground. Don't fire unless fired upon, but if they mean to have a war, let it begin here." -- Capt. John Parker