What about the files between KIS 2011 and KIS 2012? Are not they supposed to overlap each other?
In any case, I choose to remove KIS 2011 first. My subscription data is still recorded automatically. The result is former issue like persisting Application Monitor after being disabled is gone. Kaspersky URL Advisor button can stand alone next to Firefox search bar (previously it needed to be placed alongside Kaspersky virtual Keyboard). I am able to see Anti-SPAM module integration into Thunderbird too. But skinning feature seems to be supported no more. I don't find the option for hiding message on security status either.