If a man with multiple personalities becomes suicidal, would it be considered a hostage situation?

Legally no. Ethically yes. Many people claim they are being taken over by a hostile personality. So the hostage metaphor is a real one.

Depends on how drastic the division of personalities are to an outside observer

As someone with dissociative identity disorder (formally known as very out dated term multiple personality disorder (which d.i.d. people really hate being called)).

Usually Never, sense we control one body I would be considered suicidal tendencies.

Although with d.i.d. everyone has different systems they have, as with just well. All Humans. All of us are different and present our d.i.d. in different ways. So theoretically a alter could, yes, but generally not very often.

Source = my whole fuckin life.

Is he black? Because then the American police just shoot him and say he was resisting arrest.

I'm not sure, but as a woman "with multiple personalities" I can say it fucking feels like it sometimes

I think I once saw a (fictional) TV episode exploring that idea. I just can't remember which series.

Would it make a difference if it was a woman?