Move mDisplayIdToShowIme to binding controller

This CL represents an internal refactoring and shouldn't introduce any
observable breakage on non concurrent multi-user IME enabled surfaces.

Bug: 325515685
Test: atest FrameworksInputMethodSystemServerTests
Test: atest CtsInputMethodTestCases
Test: atest FrameworksServicesTests
Test: atest --host FrameworksInputMethodSystemServerTestsRavenwood
Change-Id: I0f458228515ac2f21757b6eec58e729ff33d43f3