re: Is it possible to re-install the program without the 3D capabilities?
In V16, yes.
During the Install, there's a page that gives you 4 (?) choices; Minimal, Typical, Full or Custom. The Minimal install says "Only simple 2D tools will be installed.". Whether this will solve you workplane problem, probably not. I remember someone trying this Minimal setup and wasn't happy.
I find it best to stay away from that "Toggle" feature and stick with the default "2D/3D Dependingâ€¦" (Selector Properties, General page). Let the program figure what is 2D and 3D, you shouldn't have to override the Selection tool, except when necessary.
Designer, Deluxe, Expert, Basic, Platinum
RedSDK enabled, except in 2018
Windows 10, 64-bit