This statement has very good intentions but very vague so it could be mis-directed, same way as “tikkun olam” by Reform. That is why you are immediately met with criticism here.
On the positive side, I heard specific statements along these lines from many “standard/RW orthodoxy” Rabonim, and if you read from R Salanter to R Avigdor Miller, you will find similar sentiment. R Miller, for example, suggests that batei dinim will be administering punishments to bad drivers.
Focusing on “saving an idolater” is an interesting theoretical bit to clarify positions, but it does not deny my experience thinking about saying gomel after driving through a parking lot in a “frum” town [several drivers dashing in front of me, a pair of frum drivers waiting to be towed after bumping into each other, and others driving around them creating further havoc, several children from B’H large families standing alone in the cars way]. There are many areas we can improve without getting into obscure issues.