I understand your perspective, Andreas, but I respectfully disagree.
Is it our purpose to deceive the unknowing by looking like something we aren't, that is, united with the Non-Chalcedonians?
Did the Fathers worry about how things looked when they made the decisions at Nicea I that separated the Orthodox from the Arians?
Did they worry about how things looked at Constantinople when they made the decisions that separated the Orthodox from the so-called "Spirit-fighters?"
Did they worry about appearances when they condemned Nestorianism at Ephesus in 431?
Chalcedon was, like those other three before it, an ecumenical council. The Non-Chalcedonians reject it and the three that followed it: four out of the seven councils.
In so doing, they left the one Holy, Catholic, and Apostolic Church.
Let them have their own forum.