So I'll take it that this idea is not going to fly.
But, fundamentally, I think it's still a good way to ask questions (one that certainly managed to stand the test of time) so, why don't we make it a contest!
The Contest
Choice Phase
My idea, is to choose a question, tag it quodlibet.
Objection Phase
For a week, we'll accept as answers only objections to the question at hand.
After a week, we'll take the top 3-5 objections, by votes, and edit them into the original question as links.
Reply Phase
Then, the statement will be reformulated with a general answer and maybe a general refutation of the objections, starting with I (we) answer that and on the contrary respectively, this will be the "answer".
After which, another week will be given to make replies to the objections.
Conclusion
If needed, we'll edit the "answer" to put in the best points from the objections and refutations to put in an In conclusion part.
Winning
The winners will be the person responsible for formulating the best objection and the best reply.
The key here, is to make sure that the questions at hand are things that 95% of Christians can agree to. (i.e. this would be ecumenical, not Eschewmenical), then all our friends who want to vent their disagreements can get them out of the way, but we'll get the last word in, after all it is Christianity.SE.
In any event, good scientific, skeptical answers will get upvoted along side good theological, philosophical answers.
An overview of the quodlibet.
St. Thomas Aquinas's penultimate work the Summa Theologica is a collection of theological questions, each one posed as a question which he seeks to answer in the affirmative.
St. Thomas' genius was his ability to anticipate the objections to his questions and lay them out first. So he's says something like
Whether charity is caused in us by infusion?
then he adds a few reasonable objections
Objection 1. It would seem that charity is not caused in us by ...
Objection 2. Further, the more lovable a thing is the easier ...
Objection 3. Further, the Apostle says (1 Timothy 1:5): "The end of the ...
after which he usually adds a section that begins with On the contrary like this:
On the contrary The Apostle says (Romans 5:5): "The charity of God is poured forth in our hearts ...
then he makes a general statement which is his answer to the original question (always starting with I answer that)
I answer that, ... charity is a friendship of man for God, founded upon ...
and then to each of the above Objections he makes a rebuttal.
Reply to Objection 1. Dionysius is speaking of the love of God, which is founded on ...
Reply to Objection 2. Just as God is supremely knowable in Himself yet not to us, ...
Reply to Objection 3. When it is said that in us charity proceeds from "a pure heart, ...