As far as TM has told in part one of their Celebrity Train Layouts, Jim Pattison, who bought the Sinatra estate, kept everything as it was, including the Sinatra train room.
Sinatra bought almost any gauge or manufacturer, but he preferred Lionel, including all three eras. He loved passenger trains.
As far as I'm concerned, since the estate is personal property, I definitely wouldn't count on it being open to the public.