Of course it’s not perfect. Some people have been injured and then felt they received less care than they would have otherwise under the litigious system. But on balance I think this change is likely for the best. It closed of an externality that previously led to a great deal of unnecessary expense (on lawyers), recognizing that car accidents are largely random.
At a bare minimum, everyone should purchase uninsured motorist insurance to the maximum degree possible. If you are injured by someone from out-of-state or someone who has no insurance at all, you will need it.