They will always be against each other.
It's impossible to have Shinku, Suiseiseki and Suigintou at the same time.
Suigintou killed Souseiseki (meaning Suiseiseki would never accept her) and even if she didn't she would never side with Shinku.
Unless it would become Suiseiseki vs Shinku and Suigintou.
But that would cause a even bigger shitstorm