The Trump brand of authoritarianism has ideological and personal connections with the Putin regime, and Trump has openly admired Putin, meaning that precedents set by Putin may be attempted by Trump, albeit in Trump's personal style. Of course, the oversensitive and vindictive nature of Trump's personality means that any foreign policy up to and including global nuclear war are possible. Apparent common interests do not always prevent conflict. However, looking at the connections between the Trump administration and the Putin administration is valuable.
It is in the common interest of authoritarian nationalists to undermine the current Euro-American order, which they see as corrosive to the nationally-oriented society rooted in their idea of traditional values. Trump has immediate benefit for Putin in that he throws the United States and its European allies into chaos. But Trump further undermines the existing order by encouraging nations to reject universalism, go their own way, and ignore Putin's aggression.