Might I be so bold as to suggest that rather than asking us who won't be affected by whatever you decide, you ask the people who WILL be?
Get some representatives from the teams who will be affected/that you want to pull together and have a short brainstorming session. Explain what you want to achieve and how you think a snappy mission statement will help focus efforts.
That way you should secure some buy in as they had input into the statement rather than our contributing to one that may or may not work for you personally, then the teams affected turning around and ignoring it.
Also, you may want to disguise the 'mission statement' terminology as something else as the phrase immediately makes some people tune out (at least in my working environment that is the case!).
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