Funny, but, that wouldn't be unconstitutional, either.
If I were to stand across the street from your house and use a bull horn to quote scripture or Shakespeare, that'd be constitutional. However, the boys in blue would haul me off because I was creating a public nuisance, violating noise ordinances and just being a pain in general. As they hauled me off, I'd call my buds and have them continue the readings. Again, constitutional, but wrong.
Just because it's constitutional, doesn't mean it's morally right.
Not sure about Constitutional, but there are noise ordnances as well as "quiet zones" around hospitals and certain other health care facilities here in Maryland. I have no idea if they have any similar laws or ordnances down there.