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I expect it's not normal, but we'd need some specifics.
After the other electrical problems, are you talking about a loss of electrical power (lights and stuff stop functioning or function weakly) or are you talking about drivetrain output? In either case, can you describe the power loss in more detail?
Do you have the electric shift or manual shift t-case?
So it's an electrical issue. Unfortunately for you, it's a fairly rare complaint on these boards, so I doubt you are going to get a ready response with a simple fix. You're probably going to have to wade through the wiring to find the short that is causing the power drain.
Is it a steady power drain (lights dim the whole time the t-case is in 4H) or only while the t-case is shifting, and then everything comes back to normal?