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I think the MO community is quite happy with publicity in general (see this thread for evidence of that). The major concern would be that it not attract questions of an inappropriate level. As long as you spin it roughly as "MO is a place where mathematicians go to ask other mathematicians questions that come up in their research" (maybe with an aside that it's therefore different from many older sites which are for students looking for help with homework or contest problems), I doubt anyone would object. And of course emphasizing that mathematicians actually do research, and don't just teach calculus, fits in well with your goal of showing that mathematics is alive.
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