Have you got a demo site where somebody who's interested can log in and play around with its features? Two feature questions I can't answer by looking at the screenshots:
(1) Does it have a way to highlight "Mass times" (or whatever), or is that just thrown into a general calendar with all the other events?
(2) Does it have any way for the pastor to post messages to the front page in a prominent way, or is his user account just another user account?
I put up a demo several hours after this comment. If you're still interested, you can find this on the http://church.io website.
1. As for service times, the software doesn't really have any calendaring feature at the moment. Besides, that seems like maybe something that would go on the main church website (this is meant more as a private "members only" area).
2. Anyone can post news on the site (or you can restrict to only admins).
It looks outstanding -- keeping my eye on it.