Me or I proper usage in a formal sentence
It's clear that the letter had been read over by some staffers with fairly good English credentials (eg, no spelling errors have been pointed out so far).
Whether "me" or "I" is appropriate depends on how you read it. One could read it as "you will have to live with it, I will not have to live with it", in which case "I" is correct. But it could be interpreted as "the person who will have to live with it is not me" (or one of several other mappings).