Usage, again.

[azurelunatic]

Mute: incapable of speech.

Moot: not up for argument.


So, unless the event you're talking about as being a mute point is notably incapable of speech, you're using the wrong word.

Comments

[sithjawa.livejournal.com]

A moot point is one that people should be mute about.

A moote point is... just really silly.

[azurelunatic]

If you say, "This should be a mute point," that should be all right if you mean "Shut up about it already!"