The ‘deleting a post that deletes following posts’ is definitely a problem. There’s no question that non-admin users shouldn’t have that ability! But editing your own post, even if it is to completely blank it out, is reasonable.
If we also had the ability to Quote other user’s posts, as well as edit our own, then you could call someone out on a goofy point, by quoting him before he edits the evidence. Otherwise, in most instances, not being able to edit just leads to a lot of poorly spelled posts with addendum and clarification posts following behind.