Funny you should ask!
I have already put together a complete book with 1001 of the best questions. I am currently looking for a publisher. So far, I have presented this book proposal to two agents in New York, both declined to work with it because they said that 'it is not consistent with the kinds of books they carry'. Currently, I have submitted the manuscript to three publishers, none of whom have returned my calls or returned my manuscript in the self-addressed, stamped envelope I sent. So, I guess we will all have to be patient. The book seems like a great idea to me.
If you are impatient with the publishers, you can always purchase a complete copy of the 1500+ questions/answers at this Ask the Astronomer site by clicking here.