Atheism counts on the non existence of deity and feeds on the existence of religion.
With this statement you reveal a lack of understanding of the term. The label atheist was originally applied to the Christians living under the Romans- they were "without the gods" in that they refused to recognize the pantheon of gods revered by the pagans. More modern atheists follow the example of the early Christians but add one more(or two or three depending on what brand of Christianity) deity to those they they do not acknowledge- the Christian god(s). Atheism doesn't count on anything. Nor does it feed on anything. It's the simple lack of belief in a given deity.
Religion feeds on the belief in deity and exploits the existence of atheism.
A more thorough familiarity with religion and its origins would be helpful in clearing up this assertion. Religions are constantly morphing and feed on the very human need for community and a yearning for answers to the unanswered- accuracy be damned. I haven't seen any evidence to support the notion that religion has benefited from the fact that there are non-believers.
Deism depends, counts and feeds on the existence of deity, debates with atheism while painfully aware of the existence of religion.
How does a deist differ from an atheist in their worldview? Neither acknowledges a deity that would have any effect whatsoever in human existence.
The Deity is aware of the existence of deism, atheism and religion but depends on none of them to exist.
Which deity are you referring to? How are you personally familiar with what said deity is aware of or dependent upon?