Don't position-absolute panels for the fadeOut

Manually do it just before the fade. IE10 seems to get grumpy about
margin: auto + position: absolute.

Might be good to have a parent "container" thing that stacks all of its
children on top of each other while still laying out normally though? I
think that's actually what we want.

Meh. Basically, CSS is the worst thing ever. None of the layout
primitives are what you actually want.