I need to reinstall all my fonts as a Office for Mac update corrupted my database of fonts by installing all the Office fonts into the font book

A common enough occurrence with Office. But no, you do not need to reinstall all. Just need to visit FontBook's Edit menu, do a Look for Enabled Duplicates... and for each family that pops up as duplicated, do a Control-Click on its name and do a Resolve Duplicates.

Purging all MS fonts will only get you further grief when you try to use any of Office's apps and/or receive documents from other Office users.

FWIW, my font collection that dates back from 1993 when I got my first PowerBook, carries 344 fonts including all from about 5 Office iterations. All work, none are corrupted and there are no duplicates.

Ok, if you insist...

On the left "Collections" column you should see a Microsoft collection. Control-click on it and knock yourself out. You may also want to do a Restore Standard Fonts..., in the File menu, afterwards just in case you got too eager and blasted any of the all-important system fonts.

Office didn't actually add anything to Font Book itself. It added a bunch of fonts to the /Library/Fonts/ folder. Font Book saw them and added the fonts to its list.

First, close Font Book.

Office created a folder named FontsDisabled in the /Library/ folder. You can delete that folder entirely. It also adds a bunch of older legacy TrueType fonts which conflict with the newer OpenType fonts. In the /Library/Microsoft/ folder, delete the following fonts. Note that they do not have a file extension.

Andale Mono

Arial Black

Arial Narrow

Arial Rounded Bold

Comic Sans MS

Georgia

Impact

Tahoma

Trebuchet MS

Launch Font Book. The conflicts should be resolved.

Font Management in OS X

In Font Book, select all fonts, validate them, and resolve duplicates. Font Book's smart enough to disable the right ones.