We have similar comedic traditions in the United States. "Female impersonators," a more respectable word for men who dress as women to entertain, even appeared on television in Prime Time once in awhile, like on The Tonight Show with Johnny Carson. And on series television.
This anti-drag-queen thing here is very new. The heated animosity and public protests are highly unusual, and probably would have been unthinkable even 2 years ago.
It's all a function of extremist animosity toward LGBTQ people that leaders on the right are inciting.