I very much admire Doriane Coleman and Martina Navratilova, but I disagree with their single-minded focus on sports here.

The Equality Act won't just get rid of sex separation in sports. It redefines sex in all sorts of ways (equating sex, first of all, with "sex stereotypes") and makes biological sex secondary to "gender identity."

The intent of the Equality Act is not just to protect people from discrimination based on sexual orientation and gender presentation - aims I support. Its intent is to make separating any facilities, programs, provisions and services illegal in any and all contexts - such as communal toilets at school, work, and in public places; changing rooms; locker rooms; showers; shelters; battered women's and rape refuges; health care; prisons; etc.

From the House of Representatives web page summarizing it:

This bill prohibits discrimination based on sex, sexual orientation, and gender identity in a wide variety of areas including public accommodations and facilities, education, federal funding, employment, housing, credit, and the jury system. Specifically, the bill defines and includes sex, sexual orientation, and gender identity among the prohibited categories of discrimination or segregation.

The bill expands the definition of public accommodations to include places or establishments that provide (1) exhibitions, recreation, exercise, amusement, gatherings, or displays; (2) goods, services, or programs; and (3) transportation services.

The bill prohibits an individual from being denied access to a shared facility, including a restroom, a locker room, and a dressing room, that is in accordance with the individual's gender identity.

https://www.congress.gov/bill/116th-congress/house-bill/5