The point of a meetup or conference is to bring people together on a particular topic. So unless your purpose is a faith-based exercise, I think it would only dilute the original intent of getting people together for a 'web event'.
I do however doubt that any house of worship really wants me in it.
I think the event would work as a nice filter, which might bring out a different, interesting group of people. :)
Besides the obvious impact of alienating some portion of your audience (again, it's inevitable regardless of intent), you're losing an opportunity to build on the culture and possibly comprising what you have built already.
If your place of work instilled a prayer room where all faiths were allowed to use it I'm sure you wouldn't quit your job or refuse entry into the building.
Citation?
edit: Added Canada; we do the same.
It is a brilliant venue, my wife performs in a Gamelan ensemble there every year which is great fun.
I'd be uncomfortable.