The good thing about this would be both of their humongous egos clashing and maybe they would end up destroying each other.
Al Gore is way too liberal for me.
But beyond that, it’s not good to have a Secretary of State who will see every problem in the world through the prism of global warming. Presidents, his cabinet, members of Congress, etc. need to have realistic views of the world, and not have that world view shaped and twisted by politically correct ideologies, which will in turn shape how they carry out their jobs.