[The_Reader_David]

It's just part of the cycle that drives ice-ages: the permafrost thaws, releasing methane, increasing warming, until the melting ice desalinates the North Atlantic shutting down heat-transport from the tropics (already starting), at which time the northern hemisphere cools, and the permafrost and glaciers return.

Some say the world will end in fire, some say in ice. . .

[cogitator]

until the melting ice desalinates the North Atlantic shutting down heat-transport from the tropics (already starting), at which time the northern hemisphere cools, and the permafrost and glaciers return.

The process you describe is insufficient to induce a new continental glaciation epoch.