designing and building something to pose questions rather than provide solutions is a ridiculous concept and waste of resources. why not just post the questions on a blog or a piece of paper? a building with no purpose is nonsensical.
secular temples/shrines exist all over the U.S. and around the world. in a specific building design, you can consider Masonic lodges as an example. in a more general sense, you can consider a park or some natural environment as a temple/shrine.
as far as I understand, there is really no debate to be had. maybe an enlightened atheist or theist can reveal some hidden logic here that I am missing. i hope this project is being funded by a profligate rather than public funding