It hasn't emerged yet. There's conservatives, MAGA which is conservative-lite, and sensible people who tend to sound more like National Socialists than anything but can't get into office because times are still too good. The conservative/MAGA factions will not stop believing in fairy tales until reality hits them hard enough.
Internet discourse matters very little other than proving there are "people like you". Until the sensible people can win elections (or force their way into power through other means) it's all just talk. Nobody's going to talk pedophiles out of power.
By national socialists I hope you don't mean Nazis. Trust me, those guys are anything but reasonable. And I can't stand them and their fucking obsession with race. It's anti-Christian. To quote a hero of mine:
"We know but one God: and that is not the State, or the Nation, or that elusive thing, Race."
If the Nazis are the "sensible right" then frankly I see no reason to put my weight behind either faction. Both are anti-clericalists who will one day oppress the one true Catholic Faith. But if you simply mean economic leftism (not full blown communism though) and social conservatism (something like what the Christian Right has more or less) then that I can totally get behind. Now as for the first point you made, which is that it has not emerged yet. I think that is half true. I think that the leaders of the New Right have already been born and are cutting their teeth as we speak.
As much as I hate to say it I think someone like Fuentes is in a good position in this regard. At the very least he is in a much better position than I am to act on my political ambitions. Which is frightening. I think that the future of the New Right is ultimately a choice between the ideas he embodies and the ideas I embody. In short, I think that the Right is going to abandon its color blindness for lack of a better term. In other words it will become as identarian as the Left is as civic nationalism is done away with.
My fear is that Fuentes and the remnants of the Alt-Right will come to co-opt this New Right and create an ideology which is both destructive and futile. The simple fact is that we, the Right, cannot afford to play the race card. Demographic projections show that America will cease to be majority white in the next few decades. If the Right wants to organize itself on the principle of white primacy as it seems Fuentes and others would have it do, the Right will essentially commit suicide. Not only that but the only avenue to power for such a movement would be violence.
However there is an alternative to racial identity politics: religious identity politics. While it is true that unfortunately Christianity will lose ground to atheism and some other religions by 2050, it is still projected to be about 2/3 of the country. An ecumenical Christian nationalism is frankly the only hope the Right has at this point. Christianity knows no race and no ethnicity. There are Christians of all skin colors. If this movement can successfully appeal to Latino Catholics, White Evangelicals, White Catholics, Mormons, and Black Christians as well as maybe some others then I think it has a solid chance of presenting itself as an alternative to the status quo. An America ruled by this coalition would have to be pluralist out of necessity. After all you have a great mix of faiths in this coalition from Protestants to Catholics to even non-Christians like Mormons. Not only that but also people of all social classes and all races. If any of these groups tried to impose their will on the others within then the whole thing would collapse. We'd have to learn to set aside our differences, at least in the political sphere, and work together to build a better and holier America.
I think it's possible but people like Fuentes threaten this vision. Rather than reach out to your hardworking Hispanic who prays the rosary daily or the Black minister who runs his local church, Fuentes is alienating them. He is driving them into the arms of the Left and dooming the country in the process. Regardless of how many times he says the gamer word or tells women to go back to the kitchen and make more babies White America is lost and there is no way to possibly restore it other than through violent purges of minorities which is a long shot, not to mention disgustingly immoral.
What the New Right needs is a Christian ethical foundation. And one that is not as perverted as what the current iteration of the Christian Right has. It also has to cross party lines in some sense. We need both Dorothy Day types and Billy Graham types. Otherwise it will essentially be no different from what we currently have. A lot of work needs to be done in this regard. If the Right goes down the path of racial identitarianism then America is lost. Someone needs to do something. But who that will be, I don't know.