James Petras has an article in which he tries to describe what he calls the rise of the non-leftist Left, The Rise of the Non Leftist Left
The Radical Reconfiguration of Southern European Politics.
By the non-leftist Left, Petras means the new players in Europeans politics, like SYRIZA and Podemos, who defy “traditional” Left politics. According to Petras, these new elements, “no longer are based on class conscious workers nor are they embedded in the class struggle. With the decline of unions in the advanced countries, he argues we are witnessing the emergence of a “middle class radicalism”. This middle class radicalism is accompanied on the Right, by escalating state repression instead of state economic intervention. The repressive intervention of the state aims to completely dismantle the social welfare programs that emerged immediately after World War II. The non-leftist Left that has emerged to resist this sort of state intervention advocates a horizontal-style but practices top down politics aimed at securing state power. On the Right, the fascists no longer pursue national autarky, but willingly strip their countries of national sovereignty.
I think Petras missed the opportunity to coin a useful term here. In place of “non-leftist Left”, I would have called it the neoliberal Left. Same letters could be used “NLL”, but “neoliberal Left” like its predecessor “social-fascism” more accurately describes what is taking place. The term, social-fascist, was self-explanatory: fascist economic policies advocated by the socialist parties of the Second International. In the same way, “neoliberal Left” describes the neoliberal policies of a rump collection of Third International political formations.