They couldn't just "deal with" them directly. This wasn't wartime, and since no one had accidentally been beaten to death, they had to hear the opinion of Hoshigakure, the client's side.
Natsuhi had already made Red Star's crimes public and smoothly became Hoshigakure's new leader. Her prestige was actually greater than Red Star's had been.
Unlike the hotheaded Red Star, Natsuhi was the rational type. She knew she couldn't afford to provoke Hidden Cloud Village, one of the Five Great Shinobi Villages, and ultimately decided to release the four Hidden Cloud ninjas. Killing another village's Jinchuriki was practically a declaration of war.
Before that, however, Natsuhi gathered Hoshigakure's key members in front of the four and announced, "The Third Hoshikage banned training with the 'Star' long ago because it harmed the body, but Red Star, with his ulterior motives, restarted it.
"So today, I will destroy the 'Star' completely. From now on, I will no longer call myself Star Shadow. Instead, I will develop this village steadily until the day we truly deserve to be called a Shadow!"
As she spoke, Chakra surged through Natsuhi's hand. She crushed the "Star" into powder and scattered it across the faces of the four Hidden Cloud ninjas. "This is what you wanted! Take it back with you if you like!"
"You bastard!" Even tied up, the hot-tempered Karui still tried to leap up and hit someone.
Then Naruto egged Hinata on to seal all four of their chakra points, claiming it was to keep them from turning on them once their ropes were untied.
Hinata knew Naruto was just looking for an excuse to let her and Master Kushina vent their frustration. Though she had long since stopped holding a grudge, she didn't go easy on them at all.
As for how they