You're talking about atheism blending with morality and said that the lack of god is seen in their common ethics.
I'm not saying atheism has a set moral system, but that a certain group of people, specifically this group, can have a moral system based around atheism.
A theological concept doesn't necessarily have a set moral system, yet a moral system can be set around a theological concept.
First of all, "New Atheism" is not an entity that can be quoted. That's apparently a quote by reporter Simon Hooper for CNN about "New Atheism".
Second of all, is that discrimination? Can an idea be discriminated against? And especially as actual public atheists have described their views of how they handle each religious idea differently, like Islam vs Jainism in Harris' case?
Religion isn't only an idea, it often can become an action by applying specific roles and practices. A religious man can be discriminated against, an organization can be discriminated against, and a religion is an organization.
Also, I would say it is discrimination to not tolerate something merely because of what it is.
Please keep in mind I'm not talking about general atheism.
If I say, "[racism] should not simply be tolerated but should be countered, criticized, and exposed by rational argument wherever its influence arises." does that mean I am discriminating?
Intolerance of intolerance is still intolerance; but whether or not it's ethical is another topic. Just as well, religion itself isn't intolerance so New Atheism wouldn't be intolerating intolerance, they'd simply be intolerant, though it can have properties which are intolerant against certain things.
At it's most basic, to "discriminate" means to observe a difference, like, "her sense of taste is so precise that she can discriminate between the tastes of different brands of ice cream". More specifically in a negative sense, it's common usage is to negatively mean to discriminate based on a category rather than individual merit. But if individual religious ideas are examined and critiqued, or if the methodology of believing and promoting things without decent evidence is examined and critiqued, what does that have to do with categorical discrimination?
Does New Atheism specify their bias as only towards "individual religious ideas"?
What do you mean when you say that "New Atheism literally admits"? New Atheism is not some entity, so how can it admit to things? Individual atheists can talk about things.
Individual atheists can talk about things. New Atheism is not some Borg Collective that speaks for itself. If you want to talk about a quote from a popular atheist, please quote it and provide context on where that quote came from.
It's a movement, therefore a community, how isn't it an entity or at least work like one?
Keep in mind New Atheism is not general atheism.
What if I believe Islam is a harmful set of beliefs? I've read the Qur'an, I've discussed Islam with Muslims, and I believe that the set of beliefs that comprises Islam, are generally harmful and not true.
It would be irrational for someone to say something odd like, "Muslims shouldn't put homosexuals to death, because Islam is bad". That would be a bad argument, and there aren't any public atheists saying such things. Claims are generally separate. If they say Islam is generally harmful, it's because of various things attributed to Islam in text or in practice.
But don't Neo-Atheists say "religion is bad"? That would be a heavy proponent of their ethical system.
It's more like, "From my view the Qur'an tends to be a rather violent, tribalistic, and untrue book, the claims of Islam generally aren't supported by evidence or reason, most Islamic countries have institutionalized intolerance against homosexuals and sometimes against non-Muslims, based on reports of gender equality Islamic countries almost without exception rank terribly as a group, Islam does have a history of violence all the way back to it's founder and up to the modern day with death threats, terrorist attacks, polled support for terrorism by the Muslim public in many countries, and polled support for instituting Sharia law in places like Britain by British Muslims, and therefore I believe Islam as a whole is a rather harmful set of beliefs from its core text all the way up to its actual practice."
Which I'm not saying is a bad thing to say, but it is saying X religion is bad and is expressed via atheism, it is atheism-based (indirectly) politics.
Actually no.
You're setting up a straw man and attacking that, rather than saying anything about detailed positions of actual "New Atheists". That's a semantics game. They don't merely oppose all religion simply because it's religion, and therefore their moral values would fall apart like Jenga. All of Harris' statements on ethics link to science or reason or other things. And it's not like Dawkins or Harris spend time criticizing Jainism (quite the opposite, actually.)
I quoted this earlier in this thread but here it is again. Prominent "New Atheist" Sam Harris doesn't even like the word atheist, doesn't think it's relevant, and it didn't even show up in his End of Faith book.
Then how can he be considered a New Atheist?
Morally judging God or religion would be an activity based on the lack of belief in God. Thus actively portraying virtues centered around atheism.
Those people classified as New Atheists generally hold a position that bad ideas, unevidenced ideas, harmful ideas, and things like that, should be criticized. That can include some sorts of religious ideas and can include some other things like, say, astrology. The general field of religion has often been a fairly unique area that it's not socially acceptable to criticize, which they disagree with.
I'm going to admit one thing though - I haven't looked too much into what the New Atheist Movement was completely about and now that I did I find that while they may be secular on some virtue ethics, there are still things within it that show activity based on atheism - antitheism is one of them. Dissing theism as an entirety has something to do with a moral judgement of the idea in itself, if it were for statistical reasons where theism has led to violence then it should be shunning the practices rather than theism.