Austin's only hope for stars imo is in barbecue and maybe an omakase place. Barley Swine, Odd Duck, etc. are not worthy of a star and wouldn't get one if you plopped it down in SF, Chicago, or NYC.
I don't see Jeffrey's getting one. Here is the list of steakhouses in all of America with a star: https://guide.michelin.com/en/us/restaurants/1-star-michelin/steakhouse No traditional steakhouse other than Gwen in LA makes the list. You two have two Korean barbecue joints crossed with a steakhouse with Cote NYC/Miami, you have Niku which leans heavily into Japanese flavors and techniques, and Capa which is a steakhouse with a Spanish tapas edge. Like I don't see what Jeffrey does that's better than a starless steakhouse in NYC.
The one thing Austin does better than anywhere else is barbecue and I think Michelin will reward that heavily with Franklin for sure getting one star, Interstellar and Leroy & Lewis probably getting one, and maybe Distant Relatives if they choose to give 4 away to barbecue. Birdie's and Nixta have a chance maybe? But idk.