Re: Does the Federation still exist in the 31+th century?
Nations and Empires rise and fall. How long can the Federation exist is nothing more than a guess. The Battle of Procyon V may have been the Federation's last big engagement. It could have led to other world leaving or declaring their independence from the Federation or created a civil war. Disease may have spread across the Federation either as a biological attack or natural occurrence. The Battle of Procyon V may have been the last in a long war that left the Federation vulnerable to the Borg or another race.
There is not enough information to say that the Federation as it is in the 23/24 centuries is the same as the one in the 31st or beyond. It could still be around, but in what form is anyone's guess.
It keeps Carol Anne very close to it and away from the spectral light. It lies to her. It says things only a child can understand. It has been using her to restrain the others.
To her it simply is another child. To us it is the beast.
Now let's go get your daughter.