I've tested this, Player 1 has an advantage.
This upper hand comes from inputs where Player 2 presses as P1 does. P2's input get negated by P1's input. Thus P2 is the Black chess set where going second, has to predict when P1 moves and thus must anticipate said move(s).

I like how the Naked people make funny noises when they get punched and stuff.

xD hahahha

I BEAT SUPERMANMODE !!!!!!!!!!!!!!!!!!!!!

YEAH!!!!!!!!!!!!!!!!!

I love how they move

This is one of the most original games I have ever played because you literally do not do much at all. You simply click as fast as you can in a single time period and then let everything play like a movie. I love seeing the ways these naked men and aliens kill each other. It is almost like an interactive cartoon in that there is so much that is not your own control. I always kind of thought they looked more like gingerbread men than regular men. I also love how they do that funny dance when you win.

Love it

It could have had more, but it succeeded in everything you made it. My record was 86 clicks. Why can't I recreate that score any more? Damn you aging!