Military vehicles we have in Alpha are so called MRAVs (Mine Resistant Armored Vehicle), so I would expect to be more safe in case of mine explosion.
MRAV is expected to maintain moving capability in case of lost tire or deflation of all tires. Civil cars typically do not have such capabilities. But in game they behave exactly the same.
The same issue with complete destruction of vehicles. It should be really difficult to completely destroy MRAV by using mines and RPGs and get crew inside killed. Now civil offroad and MRAV feels exactly the same. Amount of "luck" and mines to get vehicle completely destroyed is the same.
So far MRAVs and civil offroad sounds the same. But there is mine which MRAVs trigger, but civil car do not. And this fact leads to conclusion, that if you want to live longer in encounters with mines, choose civil offroad instead of MRAVs.