Had lots of fun with this!
Starship: Enterprise-C from "Yesterday's Enterprise." Monster Maroon uniforms, movie-era computer displays, cool looking exterior that's a perfect evolution between the Excelsior class and the Galaxy class. I'll take it.
Captain: Saru. Do you not want a Captain who can shoot darts from his head? Some of the Disco characters annoy me, mostly due to poor writing. But Saru's arc has been great. He's earned the trust of his crew and he deserves the chair.
First Officer: Jack Ransom. He out-Rikers Riker. Where Saru would be tentative and cautious, Ransom would rip his own shirt off and jump into action.
Chief Engineer: Scotty. We've seen him on the Enterprise 1701 (TOS and Kelvin versions), A, B, and D. I don't believe he ever got to put his hands on the C's ample nacelles, if you'll pardon the engineering parlance. Let's give him that chance.
Helmsman: Una aka "Number One." Professional, sharp as a tack, able to step up and lead if Ransom does something stupid and gets himself and Saru captured or killed.
Navigator: Morn. Because what you want in a navigator is someone who keeps his mouth shut and just pushes the buttons. C'mon, the computer does all the plotting, anyway. Put a drink in his hand, tell him the bridge is the new Quark's, and let him just sit there.
Tactical / Security: Kira Nerys. All those years as a scrappy freedom fighter, come on. Just point her in the direction of the danger and tell her the Prophets will be with her. Game over, baddies.
Doctor: Bones. In TMP costume with chest hair and giant medallion, mandatory. At his surliest and most sarcastic, please.
Science Officer: Jadzia Dax. She could technobabble with the best of them and looked good doing it. Always down to tell a fun story from her memories of a previous host. Plus, apparently, she and Bones had a thing, so let's get them back together. He's better for her than Worf, y'know?
Communications officer: Raffi Musiker. I like her direct style of communication.
Transporter chief: Miles O'Brien. He is, after all, the most important man in Starfleet history. So he has to be on board somewhere. The At Work cartoon strip seals the deal: he must return to standing in existential crisis at his transporter console so I can pop in there from time to time and see how bored he is.
Mess hall / Bartender: Jet Reno. What I wouldn't give to sit at that bar and listen to Bones and Reno go back and forth, trading barbs, insults, and grousing about how awful everything is.
Sex object: Amanda Rogers. "True Q-tie," am I right? (groan)