Ok, stop doing that, you can damage stuff that way.....
Let's try this, with the monitor that works with the computer, restart, go into the control panel, system, device manager and remove the monitor........then you'll be prompted to restart......you may be given a warning about removing the monitor, don't worry about it......I think this is an option in ME, while it's restarting tap the F 8 key and choose something that takes you to where you may be able to turn the computer off. You may need a ME boot disk to be able to do this......Hook up the new monitor, and then restart windows.