you might want to consider one of the 24 3/4" conversion necks from warmoth or usa custom guitars to get it to sound more like a les paul, this would defintely take care of the string scale problem mentioned. then again you probably love the neck on it, i know i would.
Yeah, but replacing the neck witha short-scale version will have the effect of repositioning the harmonic nodes on the strings away from the pickups. Not sure how much of a difference it makes.
I'd start by playing with pickups, but if you really really want a more Lester sound, or getting a guitar with a 24.75" scale length (Kramer Nightswan, fer instance) and starting from there.
n.b. I am a Grade A Prime vintage guitar freak, but I have been lusting after a Nightswan for the longest time. Back when they were cheap pawnshop fodder I never picked one up, reasoning that they'd always be cheap now that the fad for hair metal has passed. (kicks self repeatedly)