That title alone is bound to set off some triggers. Which is a shame, because it would be nice to get into the meat of this without having to first lay down some grounding to explain where we're coming from.
That well-rehearsed scripted cry rings in my ears as I write, "Atheism isn't a worldview! It's just an answer to the God claim!"
I take this to mean that the atheist saying it is really an
agnostic non-theist. As such, they are sat on the fence with an "I don't know if God exists or not and am withholding judgement until more evidence comes in".
An atheist on the proper definition either believes, or feels certain that the claim "God does not exist" is true.
Following from the belief in that claim is an obvious basis for a worldview. An atheist who believes there is no such thing as God, must necessarily believe that everything in existence operates without need for one. While a theist believes God created, moulded, designed, sustains, and has plans for the universe and everything in it, an atheist requires other explanations. Hence, worldview.
Going back to the agnostic non-theist for a moment. It would be smart for them to consider the logical implications of an atheistic worldview. Rather than solely look at the claim "God exists", they should study and apply similar scepticism to the alternative claim "God does not exist". Perhaps they'd then see a clearer picture of which worldview makes more sense.
So. The following will be going through various claims made by atheists about their worldview. These are common claims made by many. We will see that a number of them are incompatible. Fortunately not every atheist holds to all of the claims, and so not every atheist is living with incompatible beliefs, but for those who do spout these contradictory ideas, they should really re-examine their worldview, and at the very least, choose between the contradictions.
If you ever find that you believe two statements that are in contradiction with one another, you have no choice but to drop one.