I always used the term God Botherer to refer to those who believe in prayer and this being some type of communion with the big man. If god actually did exist, I imagine he would be pissed of at hlw often his minions bothered him with stupid requests.
As for atheists or agnostics being god bothers, it makes no sense. You cannot bother something that you believe doesn't exist. Your comparison is akin to calling those who denounce ghosts and respond to those that do with ridicule and derision as ghost botherers. I believe the reason Agnostics and atheists speak out is because they believe religion to be toxic to civilized society. For them it is no different than speaking out against any other ideology that is destructive to the planet or the human race. At the very least, if a large group of people are going to make claims based on zero evidence and use this to create unhealthy societies, at the very least they need to be held accountable.
both·er (br)v. both·ered, both·er·ing, both·ers
v.tr.
1. To disturb or anger, especially by minor irritations; annoy. See Synonyms at annoy.
2.
a. To make agitated or nervous; fluster.
b. To make confused or perplexed; puzzle.
3. To intrude on without invitation or warrant; disturb.
4. To give trouble to: a back condition that bothers her constantly.
v.intr.
1. To take the trouble; concern oneself.
2. To cause trouble.
n.
A cause or state of disturbance.
interj.
Used to express annoyance or mild irritation.
As a believer, I'm sorry, but this is not what I do when I discuss my faith. In fact, given the definition of the word "bother" it is diametrically opposed to how I present my faith and choose to represent Christ.