Graceful handling of (Net, Joy) Controller Disconnects

[Nopey]

Controllers often disconnect:

• Remote network players lose connection or desync
• Joysticks physically disconnect

Current behavior* is to end the match & return to the main menu when the EVENT_TYPE_CLOSE event occurs, which is not great.
Would be nice if we could pull open a "Controller Disconnected" dialog, and allow the players to quit or for the player to rejoin** with a different** controller

* tested in arena. i melee/vs might fail in a different way?
** rejoining makes sense for local games, but sounds difficult to do in network games.

EDIT: edited this issue to be focused on just "what do we do when the controller disappears," rather than an assorted collection of thoughts on "how do we joystick better?"

I would prefer if the "Choose Input Device" had a single option for joysticks: "JOYSTICK."
Selecting "JOYSTICK" would take the player to a live list of detected joysticks, including some information on what each joystick is: name, make/model, whether a button is currently being pressed, and any other useful information SDL readily provides us.

Issue 499 is relevant, and is higher priority because it's a bug. Not directly linking here because I don't want a backlink from 499 to this lower priority issue.

Rebinding joystick buttons may be nice to have, but is probably not worthwhile at this time.

are there any other known ambitions for joystick support?