First I will show the wording:

Now the question, if I have a team using the Animal keyword and on that team is couple of werewolves (or a werewolf and a werewolf by night), can an opposing character make the werewolf re-roll the full moon trait. What about the Animal TA, can the player with an opposing character make you PC the roll. If so, can I choose which character is rolling for the Animal keyword and/or the full moon trait.

Or is this something you cannot PC?

Full Moon and Animal ATA rolls are not being made by a specific character. Probability Control has no one to target, so you can't use it to re roll them.

The Full Moon text does not specify that the d6 cannot be rerolled. However, while the character possesses the trait and allows for the roll to be made, the character itself is not making the d6 roll.

To compare, allow me to list the following powers that can be used by characters and refer to them, directly:

Edit: Ninja'd by dairoka.

Thank you both, rep to each of you.

Yeah, you could however, use the Ancient One's SP:

THE ORIGINAL SORCERER SUPREME: Once during your opponent's turn, Ancient One may force that opponent to reroll any die roll, ignoring the original roll.

That would let him screw up one of your rolls.