What do you mean "use another web server"?
The remote panel publishing is an integral part of LV. I don't think it can just be detached.
You can write your own code which will grab the image of a front panel, send it to another VI and have that other VI capture the mouse clicks and send them back to the original VI which will then simulate them. You can also use something like VNC, PCAnywhere or XP's terminal services to remotely connect to the computer (or LabVNC to connect directly to a VI).
Why not use the built in web server?
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