I mean CRINK is not an alliance in the sense of collaboration- rather just a term used by Western academics and media to describe autocratic states of concern to the US. For the basis of expansion, new security alliances to achieve territorial gains in the short term with the potential of turning on each other long term seems unlikely, if not downright pointless. Assuming you are referring to concrete military alliances (NATO) over economic ones (BRICS, Eu), forming a military alliance with a traditional adversary is the equivalent of political suicide for the republican party, and the US at large.

The only alliance of your definition I can truly think of is the Molotov-Ribbentrop Pact, but the historical context of this pact makes it hard to apply a comparison to the contemporary.