These days, together with the Family Policy Alliance, Heritage Foundation, Family Research Council and others, the Alliance Defending Freedom backs a coalition called the Promise to America’s Children. This coalition opposes the nondiscrimination protections in the LGBTQ-inclusive Equality Act proposed by Democrats.
This is the background the Republicans want in their House Speaker.
Occasionally you’ll hear certain anti-gay Republicans claim that they support gay rights, as if saying it makes it so. This is of course an empty and false claim. They’re here to tear down inclusion of trans people and gay people alike.