While trying to play Federation starbase blockade missions, either by teaming and joining a public queue or by making a private lobby, I have never succeeded in having the original team on the mission.

Some players don't get to the map, others get there, but a message appears that you will be forced to leave the map in 15 seconds, then you just warp out and go back to sector space. This would be really annoying with real fleets on Holodeck but still annoying on Tribbles right now