If I recall correctly, batteries are basically chemical capacitors. (Two surfaces of different electric potential separated by a resistor) Is anyone out there aware of efforts to make batteries using mechanical capacitors? We make memory chips using microscopic capacitors. What limitations keep us from packing a bunch of those together to make a more powerful battery?

Turkey. You aren't really paying attention to this debate, are you?

If we saw an enormously unlikely event once, we might adopt your argument. But, sadly, with living organisms, we see these unlikely events over and over again. To put it in your terms, if I see a man draw a royal flush once, I might move on with my life. If I see him do it 10 times in a row, I look for a baseball bat.