"Choose how to enter input" - leave me alone

Question

How do I get rid of this:

I can't find the appropriate entry in Option Inspector or in WolframPredictiveInterface.

Answer 1

This is called the "Cell insertion menu". Its appearance is defined in MiscExpressions.tr via the front end resource "CellInsertionMenu".

Notebooks (depending on the stylesheet, of course) have it defined as a "cell insertion point cell" by default:

AbsoluteOptions[SelectedNotebook[], "CellInsertionPointCell"]
(* -> {CellInsertionPointCell -> 
       FEPrivate`FrontEndResource["FEExpressions", "CellInsertionMenu"]} *)

We can disable it as follows:

SetOptions[SelectedNotebook[], "CellInsertionPointCell" -> Cell[]] (* gone *)

To kill this pop-up at the Stylesheet level one may use Edit Stylesheet and insert:

Cell[StyleData[All, "Working"],
 CellInsertionPointCell -> None
]