You are using a supposed contradiction as evidence that they have a distorted view of reality. Without the contradiction (which I see none), the argument that they are distorting reality lacks premise.
It banks on inferring, "Joe drank too much last night and we got in a car crash." to explicitly mean "Joe was driving drunk". It isn't a completely off-base interpretation, but it isn't rock solid either. More context is necessary before this conversation has any real value.
Once again: I never claimed there was a contradiction in the example given. It may have been unclear in my original comment, but I have clarified this twice now:
It banks on inferring, "Joe drank too much last night and we got in a car crash." to explicitly mean "Joe was driving drunk". It isn't a completely off-base interpretation, but it isn't rock solid either. More context is necessary before this conversation has any real value.