Fellow Non-Believers: Is it legal to run a church in a residential neighborhood?

[Fiery Phoenix]

A few months ago, the house across the street from us went up for sale. Since then, it has been purchased, and we have observed our new neighbors holding events on the front lawn, holding meetings inside with the blinds wide open, and 'neighborhood block parties' complete with Christian music and a sign out front that advertises them as a church.

I did some research into them, and they have their own Facebook page, and a website. They are hardcore Fundamentalist Christians, out to 'Spread God's Kingdom'.

Does anyone know if this is actually legal for them to do? I know my husband and I, and both of our next door neighbors are all either atheist, agnostic or pagan. I find this offensive, but beyond my personal offense, the traffic on our street has increased, there is no place to park, and they are running this church it seems 24 hours a day with various activities. It has disrupted the peace of our quiet residential neighborhood.

And finally, the other night, I looked out the window to see four cop cars blocking off the street, and they had one of our upstanding church neighbors in handcuffs.

Any advice on fighting this intrusion into our lives? They claim to be helping the 'troubled people of this low income neighborhood'. But in actuality, the crime rate in our neighborhood is very low compared to other neighborhoods in our city.
They are still there after the police visit, they let Mr. Handcuffs go, and after the cops left, I distinctly heard the guy say, "Wow, I can't believe they let us go!"