Here's v.2 of my mod. It fixes the html tag display issue of the previous version.
By popular demand, I've also attached a set of modded files from the vanilla stable 1.0.4 version of Fireboard for easy implementation. The modded files will comment out the boardcode menu and the emoticons menu that comes with bbcode. I've also commented out the preview button since TinyMCE has a built-in preview.
Remember to backup your files before implementing. Also remember to check if your template initializes tinyMCE already as this might create some conflicts.
Note that this version of the mod stores the posts with (disabled) html tags so make sure you read up on how to make your tinyMCE safer. The default level of security is fine by me but it may not be for you.
Another note: bbcode tags and the new parser are fully functional in the back but bbcode tags have to be entered manually right now. If someone wants to create a hybrid input mode, you'll have to figure out a way to make the bbcode js inject text into the TinyMCE textarea. That would be kind of neat.
Enjoy.