[Shank]

I believe this is possible if you turn on "Use keyboard navigation to move focus between controls" in System Preferences -> Keyboard -> Shortcuts. I have no idea why this isn't on by default.

[yakubin]

That works, thanks! Although there is a weird bug that going forward with Tab cycles through everything and goes back to the first field, whereas going back with Shift+Tab stops at the first field.

[ykhan6]

Thanks for this. I thought I was losing my mind having to grab my mouse every time I tried to quit a text editor and not save.