For that, you will need to edit one of the templates to strip out any button action. Here is an example:
First select the button theme 'My status + Name' button (small icon) and save your settings. Then select Custom... and scroll down to the Advanced section where you see a text area with the template content in it. In this example (with echo123 still sett as Skype ID) it will look like this:
<!-- 'My status + Name' button (small icon) - http://www.skype.com/go/skypebuttons --><a href="skype:{skypeid}?{function}" title="{functiontxt}{sep1}{username}{sep2}{statustxt}{status}"><img src="http://mystatus.skype.com/smallicon/{skypeid}" style="border: none;" width="16" height="16" alt="{functiontxt}{sep1}{username}{sep2}{statustxt}{status}" /></a><span class="skype_button username"> {username}</span>
You can now strip out any function related bits like <a href="skype:{skypeid}?{function}" title="{functiontxt}{sep1}{username}{sep2}{statustxt}{status}">, </a> and {functiontxt}… For example, if you make it look like the following, the image will just show your status without actually doing anything when clicked.
<img src="http://mystatus.skype.com/smallicon/{skypeid}" style="border: none;" width="16" height="16" alt="{username}{sep2}{statustxt}{status}" /><span class="skype_button username"> {username}</span>
