Drupal CSS loaded with AJAX

I was hoping maybe you could help me out. I started using the style stripper module because I'm having a problem with my theme(TAO subtheme) working with the Skinr module. Skinr uses the dialog module for a modal in page editing.

So the problem is when you click to edit a skin it pops open an ajax modal dialog. When that happens, drupal's system-menus.css and default.css is loaded and breaks my layout.

Is there any way that style stripper could prevent this from happening?