Attempts are made at every turn to impose religious ideas onto others. There has been a push in many states to enact laws based upon Christianity, for example. There have been attempts to teach creationism (later renamed intelligent design) in science classrooms when there is no science in it and it is clearly a theistic viewpoint.
Again, all these attempts are made by false-theists.
Theist, or say true-theist DO NOT make such attempts.
How do you propose non believers "stay away" from believers in various gods?
I NEVER said that non-believers to "Stay Away" ?
In fact, they are welcome with a cup of coffee
But, If they think that God does not exist, they must keep this IDEA in their own mind, and there's No need to oppose it.
And, if still they want to oppose, True-theist can't do anything except JUST asking the reason to oppose.
Like, I did in OP.
What do you say to those believers who knock on doors and put up signs and billboards?
Those are false believers / false-theist.