It seems to me that you are attempting to define "atheism" in a way that atheists themselves (such as Tyler) do not.
What gives you the right to tell atheists how they ought to define atheism?
Is it too obvious to say she is simply derailing every conversation into endless debate about a term every one else is settled on as a means to prevent any actual discussion and to setup a strawman which she hopes to be able to attack easier?
In short she's a troll and a pretty blatent one at that.
We should at least be able to take an enemy of islame and declare its definition the only valid one. After all, turn about is fair play.