I think Moscow will be happy for the doves/hawks arguments to play out, with either Track One or Track Two as the consequence. The current exercise is, I believe, all about breaking Ukraine's urge to follow the military route in its relations with Russia, one way or another.
As I have argued, Putin's bigger game is to re-enter Europe on his terms and to remove the threat of further NATO expansion. He knows that the current NATO members are no military threat to him and that it is a mainly defensive alliance. The current talk of defensive deployments is a bluff and he knows we know it. It is about threatening Ukraine. What he emphatically does not want is NATO membership empowering nations who harbour ambitions to take him or his clients on militarily, however justified their grievances. War costs him money and popular support and even in Russia, this matters.
My bottom line; strategically this is not about Russia re-entering Ukraine, it is about Russia re-entering Europe. Putin sees the US and the UK as hostile to this end, which I suspect is one of the reasons why Russia saw BREXIT and Trump in favourable terms (although Russia is keen to keep Britain as a secure and viable economic hub for its own purposes).