But the President can not play it that way publically
No he can't. He has already most likely talked to Pooty Poot and arranged acceptable talking points.
This is not small ball, to be sure. This is real politik. Both The Donald and Pooty are aware and in agreement as to who the real enemy is. Donald will rattle his sword, talk tough, and Pooty will act offended and maybe make some small threat back. The end.
My confidence on that is high.