We are living in a post-Christian culture and many people have the strangest conceptions of who Christians are and what we believe. My husband and I are Catholic and we know a lot of very smart, intellectual Catholics. I don't bring up my faith but I don't deny it either. At the very least people should realize not to assume anything about anyone. For me the theology of Christianity that teaches we are all equal and precious children of God helps me have a positive and hopeful outlook when surrounded by cynicism and pessimism.
I have always had plenty of friends who are atheist and my best friends respect me as I respect them. The fact that my husband is a Neurologist means he easily challenges our teens with any shallow ideas of what Christians believe and that there is no conflict between science and faith. (As I am sitting here he is discussing the differences between morphine and other opiates and endorphins and their molecules with our 17 yr old dd).
In Catholicism evangelism is not a narrow idea of giving a persuasive speech and expecting people to "give their lives to Christ" it is revealing your love of God and your relationship with Christ in all you do and who you are. It's not a moment in time, we believe everyone already has the presence of God within them and also that respecting others free will is essential. Every year people join classes in our parish to become Catholic and they decide to do that for a range of reasons but they never told me that it's because of some magic words someone said. Its often because of the witness of Catholic co-workers and people they know however. The "witness" has been who they are and how they live. Sometimes many encounters with different people over many years. Faith is about a relationship with God and being a disciple is relating to others in love.
I have actually had people approach me and ask if I am Catholic and if I could help them in various ways.
I also have some relatives who every time I meet them slag off the church and love to tell me how terrible Catholics are. I don't say anything other than explain things or agree when I think they are right. I just don't take it too personally.
It was extremely strange though when I found out they were disappointed that they weren't invited to celebrate our kids sacraments as they had always given me the impression that they hated everything about the church! 
So people can have a very mixed response.
I find people with other faiths are much easier to talk to for obvious reasons. Many people in the UK just don't understand the concept of faith - they can say very bizarre things. I am in the US now and its not so strange here. 24% of people are Catholic.
You need a thick skin and have some good Christian friends. I just laugh and say I am a rabid Catholic and people laugh. I just don't take myself too seriously and I know its not my job to convert anyone, that's for the Holy Spirit.