I don't really understand the strong/weak atheist either.
I was bought up catholic, FORCED to go to church every single week. Never asked what my views/opinions were, you are going to church and that is that.
I am an atheist now in that I definitely don't believe in god, but I wouldn't say I feel strongly enough to be really passionate about it/get annoyed by Christians.
The only thing that annoys me is when either 'side' is disrespectful to the other eg when atheists openly 'diss' Christians in public or one to one, telling them that they are just believing in a fairytale or are brainwashed etc. And conversely when Christians think we just 'haven't seen the light' etc etc.
Similarly evangelism does annoy me. I have no problem at all with anyone talking about their faith/belief. I 100% respect it and if that belief is something that brings them great comfort and happiness then brilliant, I am happy for them. I have one very close friend who is very religious and I know that belief has bought great comfort to her during some terrible times in her life. Just because I don't have the same belief it doesn't mean that I can't be pleased that she has a belief that has helped her. I wouldn't care if she said she believed in Father Christmas and that had helped her, my only concern was her well being at that time.
But similarly, be respectful of my beliefs. Don't patronise me/them by trying to convert me. Just accept that I have a different view which is just as valid as your belief. And if I am happy to listen to your beliefs about there being a god, then listen to my beliefs that there isn't and respect that.
The fact that you believe should be enough for you. Why isn't it? Why do you have to try and 'preach' to others and 'convert' them? My non-belief is enough for me. I don't have to go round trying to convert others to my way of thinking.
If someone stopped being friends with me because I didn't believe I would be appalled but it would tell me all I needed to know about them!
At the end of the day all any of us have is a belief, there is no proof either way. So be happy and content with your own beliefs and respectful of the beliefs of others, which are just as valid as yours
That's my view anyway!