I don't know. If I take the wikipedia definition [1]
> The alt-right, or alternative right, is a loosely connected and somewhat ill-defined grouping of American white supremacists/white nationalists, white separatists, anti-Semites, neo-Nazis, neo-fascists, neo-Confederates, Holocaust deniers, conspiracy theorists and other far-right fringe hate groups.
I don't see how Peterson fits in that category. In a way the fact that the term is abused by the left to refer to all sort of non extremist people seems to have given a new meaning that you are refering to. Kind of like far-left movements refering to "facists" anyone to their right in the 80s.
Peterson is a vocal proponent of race "science" and regressive anti-feminist social structures. He's as right as they come, and he's "alt-right" because he's devoted his career to re-framing these ideals in ways that shake off the stigma they now carry.
Where is he a proponent of "race science"? Citation needed.
And being an opponent of some of the more ludicrous off-shoots of modern feminism is not "alt-right", it's just common sense (and mainstream: for example only 9% of women in the UK consider themselves feminist[1]). And science, etc. Now I don't necessarily agree with his stances, but they are nothing if not well-reasoned and supported by data.
Yes, to me it is very clear from his words as well.
Anyway, since you are making the claim, it would be up to you to explain what in his words is "promoting" (what a proponent does) so-called "race-science".
First, you'd probably have to define what you mean with "race science".
> The alt-right, or alternative right, is a loosely connected and somewhat ill-defined grouping of American white supremacists/white nationalists, white separatists, anti-Semites, neo-Nazis, neo-fascists, neo-Confederates, Holocaust deniers, conspiracy theorists and other far-right fringe hate groups.
I don't see how Peterson fits in that category. In a way the fact that the term is abused by the left to refer to all sort of non extremist people seems to have given a new meaning that you are refering to. Kind of like far-left movements refering to "facists" anyone to their right in the 80s.
[1] https://en.wikipedia.org/wiki/Alt-right