Atheist Progressivism is an ideology which espouses an agreeableness between atheism and progressivism; simply it is the ideology of progressives who are atheists, and vice versa.
Beliefs
Atheist Progressivism is the synthesis between atheism and progressivism. He believes that progressing societal institutions and values naturally are atheistic in nature, since religions have often advocated against progressive values like LGBT rights and abortion. However, he might think religion is incompatible with progressivism, or may just be secular.
Atheism+
Atheism Plus was a movement that originated in 2012 by the blogger named Jey McCreight. The movement encouraged progressive atheists to address issues like social justice, including: feminism, anti-racism, homophobia, and transphobia. The Atheism+ movement was different from philosophies like secular humanism that have ideological overlap because atheism+ was more specific on issues and only included atheists.
Personality and Behavior
Atheist Progressivism either acts like a stereotypical intellectual atheist who debates religious conservatives and religion in-general, or is a secularist who tolerates religious beliefs so long as they respect him back.
Relationships
Friends
Laicism - Secularism and atheism naturally go together.
Progressivism - And so do progressivism!
Secular Liberalism - Secularism and liberalism are based.
Atheist Feminism - Religion is oppressive towards women.
Frenemies
LGBT Christianity - Why are you a Christian?
State Atheism - Isn't this going a bit too far? Why not work with people who will respect my beliefs?
Atheist Conservatism - You're an atheist, but you side with the people who actively work against your beliefs?
Enemies
Conservatism - Why any atheist would be conservative is beyond me.
Christian Conservatism - Even worse version of the above, legitimately thinks his gloated egotistical values are above everyone else's.
Christian Theocracy - Go away already!