If we are going to do such aggressive posturing then let’s at least get something out of it, such as “Hey Putin, we WON’T do these things if you stop providing nuclear know-how to Iran AND pressure North Korea with us.” This won’t happen however as it would have to become an alliance so your idea would just add tension for no reason.
Exchanging barbs with Putin is precisely what he wants. He is trying to cement his populist support by using the U.S. as the villain. It worked before, and it will work again.
The Russian people are unbelievably nationalistic and he is simply pushing the buttons.
I like to use the analogy of the Klingon's in the Star Trek story. They fit like a glove with Russian Nationalism, and it was not a accident that there is a direct comparison.