It looks like this is going nowhere...
Extreme -
Atheist - There is no such thing as god. You can prove it to me be beyond a reasonable doubt; I will refuse to acknowledge your proof and I would rather kill you than believe in god.
* Everything in between
Middle -
Agnostic - I was born an inquisitive being; I learn things using a scientific process. I would believe in god if you could prove to me beyond a reasonable doubt that god existed; likewise, I would accept that god might not exist. If I die and go to heaven; great. If I die and just cease to exist; then that's just how it is...
* Everything in between
Extreme -
Religious - God is absolutely real. I don't have to prove it because I believe it and I want to force you to believe it in order to "save your soul." I will die if I must in order to force you to believe in god.
From the perspective of existence the OP is correct; existence is eternal. However; only that which existed before the big bang is infinite. Eternity will eventually end and this eternal plane will no longer exist.
Energy cannot be created or destroyed from within our Universe. This indicates a lack of equilibrium and hints that an inverse of energy must exist for existence to be possible. Equilibrium is infinite until acted upon by an external force. Recent tests at the Hadron Particle Accelerator reveal that when an atomic particle is "smashed," the pieces can no longer exist and form a black hole. The creation of a black hole at such low energies is indicative of an alternate plane containing the inverse of energy and mass. Black holes are the equilibrium of energy.
http://www.livescience.com/27811-creating-mini-black-holes.htmlhttp://www.livescience.com/27888-newfound-particle-is-higgs.htmlYour atheist definition is wrong many levels, firstly nobody has proven any religion beyond a responsible doubt. The very definition of faith is belief without evidence. If you wish to use the legal term of beyond reasonable doubt, you will require a great deal of irrefutable evidence, which religion provides none. Religion doesn't even come close to the balance of probabilities threshold.
Atheism merely means not convinced. The extreme version would be, extremely not convinced.
Your definition may be more suited to an anti-theist. Somebody that "KNOWS" there is no God