And yet, when you look at the entirety of the definition of each word, it is clear that they mean two different things. In the context of a debate where there is an assertion that the "faith" of nonbelievers is equivalent to the "faith" of believers, I think it is very important to make a distinction between faith, as in, belief, (i.e. conviction of truth especially when based on examination of evidence), and faith as in, faith, (i.e. firm belief in something for which there is no proof).
You can't use the same word for two different concepts and then say look, they are the same.