Yeah, Wes is right, a 2" deep piece would work fine. The problem runs into locating the pickup selector switch. From what I can tell, there's a channel cut into the mahogany that goes from the pickup selector switch to the pickup cavities, to the control cavity. This channel is then covered by the maple top. This sort of construction could cause some problems if using a one species body. However, if one were to locate the pickup selector switch near the volume and tone controls, it wouldn't be as big of a problem.
Of course, even in that case, care would have to be taken to avoid the studs for the bridge and tailpiece when drilling a hole from the pickup cavities to the control cavity.
All in all, sounds a lot easier to use a maple top, at least IMHO.