Personally, I do not cite them as proof. There are plenty of other proofs which are totally non-miraculous, which I can site--such as the ecumenical councils themselves, which is my "proof" just as yours is the writings of your saints and your councils. I would be interested in an exposition that was historical, detailed, and unbiased, where a non-polemical discussion could take place, but I won't hold my breath since we have different ways of seeing things in the first place and are both convinced of our rightness.
I personally don't cite the writings of my Saints as "proof" I am right either. I have studied Chalcedon and have come to the conclusion that it was deeply flawed, which is why I don't think I could ever join the EO communion. However, I appreciate the fact that you seem to see things more reasonably than many of your co-religionists do. But, thanks for sharing your thoughts nonetheless.
Peace and blessings,