I cant believe everybody is fighting over a simple problem.

flame wars wouldnt help anybody.

I believe there's nothing wrong with using superglue or any other
adhesive since these are mostly non-conductant, just be sure that you
know what you're doing and be careful if you're going to use a splint
to keep the switch steady.

Michael's suggestion of jumping the switch so that it would permanently
stay on is good too. however if it were my monitor. I would try to get
a replacement switch for my monitor then solder it in like all good
guys do. If not, i would just make an arpeture either at the front or
the back of the monitor with a little hacking and create my own switch.