Continuing the do-over during the Kennedy White House, we've established that the world didn't disappear in mushroom clouds in the Cuban Missile Crisis -- something I almost think was a more probable outcome than what happened.
Unquestionably, JFK was a horndog, probably more than anything of which Bill Clinton has been accused. Possibly, he and Jackie might have had an extremely discreet open marriage. If that was their decision, or that of the Clintons, I don't think it detracts from the Presidency. So, that's one aspect of nontraditional sex.
Nowhere in the story will two men go into the closet and make it together. On the other hand, given that guys like to watch women with each other, and that group sex involves men and women, there may well be times when men at least come into contact, and maybe play with one another with women participating. There also is at least one truly trans woman character, whose birth chromosomes don't preclude her being a charming female.
If any of these squick you, this isn't the story for you. If they don't, I suspect you'll find the story addresses a more realistic range of human sexuality than many others do.