There is actually something to be said for not being personally/emotionally invested in the market you're in, it can help you to see things more objectively.
On the other hand, if you're emotionally invested in atheism, in the sense that you actively want to see religion gone (as opposed to just not believing as a personal choice), you're emotionally invested in religion by extension.
I've never heard "emotionally invested in atheism" mean "you actively want to see religion gone". In fact, I find that idea quite disrespectful. That's just as bad as a religious person trying to push their religious ideals onto you.
I know a large number of religious people who would consider themselves "emotionally invested in their religion" but I would never describe any of them as "actively wanting to see all other beliefs gone".
"New Atheism is a social and political movement in favour of atheism and secularism promoted by a collection of modern atheist writers who have advocated the view that "religion should not simply be tolerated but should be countered, criticized, and exposed by rational argument wherever its influence arises.""
On the other hand, if you're emotionally invested in atheism, in the sense that you actively want to see religion gone (as opposed to just not believing as a personal choice), you're emotionally invested in religion by extension.