I have a much better idea.
The NCIS team is transported to year 2380 by the female Caretaker.
When they realize that there is no way back to the 21th century, they join Starfleet and starts to investigate crimes and similar things in Starfleet and all around the Federation in the same way they did in their own time.
Gibbs will be the captain on the starship designed for this unit and the picture above shows Lt. Abby Sciuto.
Maybe we need a thread for that.