Honestly, if you can't answer "who cares what order the answers were posted?" then you are not getting Stack Overflow.
Stack Overflow is a "Question & Answer" forum, not a tradition "Discussion" forum.
The Traditional Discussion Forum
Messages are threaded; each message is part of a larger discussion which flows together to form an on-going conversation about the original topic. Most-recent ordering of posts makes sense here.
The primary purpose is to quickly get an answer to a question; a specific question with a specific answer. Each answer is written to be atomic; that is, each answer should stand on its own to best address the question asked. Each post is reviewed and voted on by the community-of-experts for its merits. The most-voted-on answers float to the top. Community members can add to or correct information in posts through a Wiki-style contribution. Finally, the original poster selects the question that best solves their problem.
The very nature of ordering posts by votes inhibits long, drawn out discussions. That is by design.
You can select to order posts by most "recent" posts but that is better used to see the most recent contribution to a question you have been following for awhile. Sort-by-most-votes is the intended way the system was designed to be used.