I agree with slavy13 (old-MDI = bad, new-MDI = much better). But don't use programs like Microsoft Excel as your model. Ick! You get one window on your desktop, regardless of how many spreadsheets you have open (which may or may not be your preference.) But you get one taskbar icon for each and every document you have open. And your Alt+Tab window similarly has one icon for each document you have open. Plus, there is an additional icon in there just for "Excel" which takes you to whichever document happens to be "current". So yeah, do your MDI like Mozilla. Or at least give your users the option of switching to the cleaner style.
To more succinctly answer your question, I feel the answer is yes, MDI is still appropriate in some instances. But, in all things, moderation is the key.