You can take a look at the Tridion CMS skinning concept and apply it to the UI Experience Manager. You can find the TRIDION_HOME\web\WebUI\Editors\SiteEdit\Themes and maybe add new CSS to host the button, etc.
You can create a new css file, for example MyCustom.css , and place it under Defalt Carbon. After you have a new css file, you need to update the SiteEditEditor.cfg file in the TRIDION_HOME\web\WebUI\Editors\SiteEdit\Configuration to add a new css file for the theme. See the themefiles section in config.
To change the default label, you need to change the value of the EditorViewTitle data attribute in the Tridion.Web.UI.Editors.SiteEdit.Strings.resx file located in TRIDION_HOME\web\WebUI\WebRoot\App_GlobalResources .
** NOTE :: *** Please note that updating .resx files may not be supported or documented *.
I played with this while back, and I was pretty successful with shortcuts and themes, but did not pursue it, since it does not fully satisfy my needs.
CMS hiding is documented at: http://sdllivecontent.sdl.com/LiveContent/content/en-US/SDL_Tridion_2011_SPONE/task_C4C14E4D601B4BE392ACE3B067426BB7
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