I think possibly the best official way to really support multimonitors is to use AWT which already has a pretty comprehensive display configuration API. LWJGL's Display is really designed for lightweight simplicity and aims for the common case of one simple display.
Cas

hmm, I'd have to say this wouldn't (or shouldn't) require any API changes. The simple Display should just work regardless of which monitor its on otherwise IMO its a bug with LWJGL. In theory we shouldn't have to do anything to get this working as it should be handled by the OS. I'm guessing we are creating/destroying Display in some non-standard way which causes the problems with mutliple monitors on windows and linux (above patch should fix it for linux though

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Multiple monitors are becoming more common nowadays anyway with more and more video cards having multiple video outputs.