It is my understanding that the most extreme weather is caused by temperature differences between colliding air masses.
Correct. This inconvenient fact is ignored by the alarmists (and I'd have to put some journalists at the forefront of this alarmism)
If the climate warms evenly is there no change in extreme weather?
If warmer areas warm more than cooler areas is there more extreme weather?
If cooler areas warm more than warmer areas is there less extreme weather?
More information on basic meteorology and physics please (regarding warming and extreme weather ofcourse).
Correct. Weather is a function of the fact that the ocean/atmosphere system is not in thermodynamic equilibrium (which if you think about it, is a really good thing). So the greater the temperature gradient between tropics and poles, the greater and more extreme the weather. Conversely if that temperature gradient declines (as is being claimed with the Arctic is warming) then this would lead to less weather and fewer extreme weather events.
There's the problem: if globalwarming of the poles compared to the tropics is happening (which is happening for the Arctic in some places, but not to Antarctica except the small Antarctic peninsula) then the result would be fewer extreme weather events. Not exactly a rallying call to action is it? Global warming is happening: fewer tornados and hurricanes! longer growing seasons! milder winters!
So for reasons that have to do with alarmism and not science (and there's no other way to describe it) they emphasize that higher temperatures imply more energy and therefore more extreme weather (a non sequitur if ever there was one).
An extreme example is the planet Venus, which has high temperatures, and therefore lots and lots of thermal energy, but has no weather at all. At the surface are very light winds. No hurricanes, tornados or even dust devils. Why? Because Venus is as close as its possible to get to thermal equilibrium - the extra heating from the equator is circulated directly to the poles via a phenomenon called "super-rotation". It spins extremely slowly (more than a Venusian year) and has no oceans or any other facility to remove heat from the atmosphere.
I firmly believe that global warming, like the global cooling scare of the 1970s, is a religious and political belief masquerading as science. Climate has always varied on all timescales on the Earth and our response to climate change should be adaptation, a policy that has stood us in good stead since we learned to stand up millions of years ago.