I don't seem to be able to do multiple cursors in IntelliJ. That's a massively useful feature available in Sublime, Text Mate, VIM (via plugins), and Emacs (via plugins). Emacs can do almost anything. I can read my email, browse the web (with images, no less), chat via IRC and Jabber, open multiple terminals, manage my Git repositories, etc. I can't find anything like that in IntelliJ.
You probably would use IntelliJ's refactoring instead of multiple cursors. Renaming variables, functions, editing function signatures, etc. Whatever you'd do with multiple cursors you would probably do with a refactor, or a search and replace. There's also column select mode.
I use multiple cursors for tons of stuff that can't be handled by search/replace, column selection, or refactoring tools. Once you really get into it, multiple cursors are a very powerful tool.