MacMini used as a browser with no mouse connected

Hi All
I’ve got a MacMini and I want to use it to drive a plasma screen to display a web page. I’m mounting the MacMini behind the screen and the screen on a wall, fairly high up. So I’ve got a Mighty Mouse Bluetooth and a Wireless Keyboard to use with it, but I want to be able to switch the MacMini on without having the keyboard and mouse on.

So far, I’ve managed this:
OS X starts and an applescript I’ve written makes it full screen and mega zoom.

But, the mouse pointer is making the Safari Menu stay visible, it looks like it starts in position 10,10 in the top left corner. If I plug the mouse in and move it away from the menu bar, all is well. But the application of the MacMini means the keyboard and mouse will not be switched on…

Help!!