Meh.
Colour me unimpressed with either the 'New Atheists' or 'Atheism Plus'.
I like much about Dawkins, Harris and the late Hitchens. I like much about Christina and Dadhaboy. There is much to dislike about either set as well.
However, I've not seen a particular inclination towards (to quote the article) "organized hatefulness, racism, misogyny, transphobia, or just the malign neglect of old-school atheists" in 'New Atheism' that would not come with a group of its particular demographics, which is most strongly male, 16-44, educated, middle class, white, and inclined to be engaged in STEM and media.
The 'new atheists' are much more than Dawkins, Harris and Hitchens though. AC Greyling, Daniel Dennett, Michael Onfray, Victor Stenger, Jerry Coyne, P Z Meyers, and Hirsi Ali are all just as important, but their positions have been less polemic (or perhaps less juvenile), and thus they have garnered less popular attention. Personally, I'd read/listen to Greyling, Dennett and Stenger over any of the other public intellectuals associated with 'New Atheism' or 'Atheism Plus'.
Have there been incidents? Yes, sexism and unwanted sexual advances by Dawkins and Shermer come to mind immediately. As does Harris' misogyny. Any such incidents is one too many, but I see no entrenched propensity towards these collective views in the 'new atheists' though.
Maybe I've not been paying too close attention though. I phased out of the whole back and forth in atheist social circles in 2011, when this split between new atheism and atheism plus emerged.
For me, atheism is a single stance on a single issue. That's it. End of story.
As an Australian, that's all it needs to be.
I could be a humanist, a leftist, a conservative, a feminist, a socialist, a capitalist, a libertarian, an environmentalist, a progressive, a right winger or almost any other 'ist' without it having any impact on my beliefs about gods.
I have no need, or desire, to link my atheism to any other set of views.
Maybe its different in the US, where most of this seems to be sparking. There seems to be this strong link between religious views and social/economic/political views in the US that is either non-existent or tenuous in the rest of the world.
I don't see 'New Atheists' or 'Atheism Plus' as being necessary. I'm just an atheist, no prefix or suffix needed.