I don't know, I never asked a woman if she thinks Jordan Peterson quoting incels are attractive to her. But being an incel and quoting Jordan Peterson isn't necessarily what I'd refer to as "manliness". Without trying to further define manliness, I can tell that I personally find manly women unattractive and most women don't like too feminine men. In some way it's the gender differences that make the genders attractive to each other (regardless whether they're socially constructed or biologically determined or both).
Overthinking manliness makes you look like you have issues/insecurities in that department, though. These self-identifying "alpha male" types who do everything to appear more masculine, including intentionally speaking at a lower pitch than naturally and acting rougher than they are, are the male equivalent of the all-pink/too much perfume wearing Hello Kitty collecting peroxide blonde girly type. Just seems obnoxious but maybe that's classism