An atheist does not have a belief in god, does not worship 'god' and does not have an activity dedicated to the spreading of their beliefs. The point of being an atheist is to separate one's self from that.
I will start with your first point. You are right that atheists do not worship "God", per say. But they do worship and I would say the thing that they worship is their god. First what is worship? Worship is the giving of yourself to something or someone, in other words, it is something that you think about, work for, feel joy form, strive to be with and something that consumes your time more than anything else. This could be money, drugs, alcohol, food, work, or someone else like a movie star. So even atheist's have a "God" they just don't call it that or even recognize it.
Your second point is a completely false statement. They have people that do radio and TV talk show they have people that do demonstrations, and they even have clubs like the American atheist or the Atheist Alliance International which, by the way, both put out reading material and ask for donations and ask if you want to join. Sounds like a church.
So even though they want to separate them selves from a "God", they are still a religion.