I think I will have to gird up my loins.
I am going to start with this:
"To be or not to be, that is the question."
Do you like this rearrangement?
That, to be or not to be, is the question.
It looks like the compound infinitive phrase functions as a non-reduced apposition. It re-names the subject.
See my diagram below:
I will come back with the other sentence a bit later.