Earth's climate system is an energy matrix, a complex interoperation between co-operating systems, all driven by energy, all "seeking" lower energy states at the expense of other systems. Some of that energy does indeed go into warming (melting ice, sea temperature rise, ...) but a huge chunk just makes these energetic systems more energetic because of a lack of suitable energy sink.
Put a glass beaker full of water on a lab-stirrer, and you're going to get the occasional splash, but replace the 9v battery-driven motor with a Harley Davidson (you know, to force way more energy into the system) and you're going to get a whole lot more splashes. Splashes are bad.
Forcing energy into immense, complex, non-linear dynamical chaotic systems that literally govern our existence on this planet is not a good idea if you want to continue to exist on this planet. All you're doing with "global warming" is giving these systems far more phase-space to explore, and we just don't have the knowledge or experience to predict what some of the solutions those systems can explore will do.
I still feel it ought to have been christened "energy death of the planet" or similar (akin to the heat-death of the universe". Something that the tabloids could grab hold of and point out disasters as we creep, seemingly inexorably, towards a tipping point we may not recover well from.
[sigh]