Late follow up, but I found this page looking for the solution so I'm posting this...
To hide this on the front page (but keep it inside on empty blog pages) put this in your template where the mosMainBody() function is called (I included a DIV for styling):
Code:
<?php if(!($option == com_frontpage && ereg(_EMPTY_BLOG,$GLOBALS['_MOS_OPTION']['buffer']) !== FALSE )) { ?>
<div class='mainbody'>
<?php mosMainBody(); ?>
</div>
<?php } ?> As long as your body doesn't contain the exact phrase "There are no items to display" or whatever you set it to in your language file, this will work.