I think it is not psychologically feasible. I find that whenever I actually argue, I always have the conclusion already written.

So, whenever you argue, you have never ever changed your beliefs? It is beliefs, after all, that are "the bottom line" that should be mutable by the evidence, yet are immutable if you write them down first and then go looking for justification. If so, I suggest you work on that - it is feasible, I promise.