Well it's not his LP doing all the whammy stuff, it's the same axe he did 'Is this love' with..............the OD saturation is care of his standard hi gain rig which, if memory serves, is a pair of MKII Boogies split in stereo with a chorus.
The Cold Sweat neck will do that singing fluid tone and the CS bridge should get you into the solo tone ballpark which definately sounds like his Ebony LP Custom.
Alder is tighter grained and brighter and your trem will effect it too but I really think you'll get pretty close, especially if you wack the bass up full ala Sykes and show the gain knob no mercy :D