Sorry - I posted this to the root rather than to the issue...
I figured it out. Their default style for their tabs set a z-index of 99. I set it to 0 and they didn't show up again. One suggestion would be for the CuteEdit control to set a high z-index when going to full screen to make it less likely that another vendor's control would show through - just a thought.
Thanks,
Jeramie
Regards,
Jeramie