Buddy, I've heard it directly from the horse's mouth, over and over again. I've read it in conservative papers and heard it from conservative politicians directly. This is not stuff I've heard described by commentators on my side. It's stuff conservatives have been
very loudly, very proudly insisting for bloody decades.
I find it stunning that you'd have so little conception of what your own political camp has been peddling. I can only conclude either 1) you're lying, or 2) you genuinely cannot comprehend that people you support hold different societal values to you.
Anywho, a few examples.
Here's Fox News interviewing Lawrence Jones, on how women want a "traditional man" who'll be the one to "herd the cattle", and how traditional masculinity and femininity should be maintained. Women stepping outside traditional female gender roles is described as "woke" in media.
Here's a Fox News piece, including how "ancient" traditional gender roles (men= goal oriented, providing; women= nurturing, imaginative) are under attack by "the left".
Here's a study of gender views, correlates, political views and religion across the US states, including how political conservatism are associated with traditional gender roles.
Here's the overview for Manhood by Josh Hawley, Republican Senator, who argues that we must return to ancient traditional masculine gender roles, and that they're under attack by "liberals".
Here's an account of when conservative groups-- including the conservative Catholic "Tradition, Family, Property" movement-- protested Judith Butler at Sao Paulo, and burned an effigy of her, in protest against her supposed attack on traditional gender roles.
Here's an overview of how ultra-conservative Italian PM Georgia Meloni utilises traditional gender roles.
Here is Catholic.com explaining that there are differences in the roles men and women "naturally play", with women more naturally caregivers, and men more natural workers outside the home. It's a view that's been echoed by the Catholic institutions for centuries.
Here's an account of the 1993 RNC and DNC, attesting that gender views expressed at the RNC had then crystallised around a traditionally-gendered model, with men as breadwinners and women as caregivers.
Here's an overview of how British 'traditional conservatism' and 'conservative feminism' have both been encouraging of traditional gender roles for women, and how grassroots party members hold views around the traditional roles of women.
Here's a King's article about how the right-wing Polish Law and Justice Party, with the support of the Catholic Church, supports heavily traditional gender roles.
Can find more if ya like, this didn't take long because the sheer wealth of examples is vast.