I don't know how they would disable that and the home button on a non-rooted phone.
If the kid can replace the default launcher, she does not need an special UI in the first place.
(If all you want to do is micromanage your kid's life through GPS monitoring, is it possible to install a hidden GPS tracker?)
Now, if the kid uses the market to uninstall the Kyte launcher itself... then I'm guessing the stock launcher or a pop-up asking what launcher to use would come up.