Problem applying styles

Hi folks,

I use the sylesheetparser plugin to load some css files into CKEditor. This works great, but here is where I bump my head:

The hirachie of the css may not be replicated inside CKEditor. In the final page I may have something like this:

<div class="ckeditor_content">
    <?php  print( $text_edited_with_CKEditor ); ?>
</div>

in the css the styles to be used by CKEditor are all below in herarchie of .ckeditor_content like

/* css snippet */

.ckeditor_content > h1 {    
  color: #123456;
}

In CKEditor there is no <div class="ckeditor_content"> ... </div> therefore the styles are not applied. And the preview inside CKEditor is poor. :( if I add the div in CKEditor everything looks great, but I have a double output in the frontend with <div class="ckeditor_content"><div class="ckeditor_content"> ... </div></div>

Now, before I start rewriting the whole css, or the frontend. I'd like to know if there might be a config for CKEditor to pass an enlosing structure to the editing area.

Or maybe you know of a diffrent solution that would save me from major remodeling.

Regards
Armin