do animal soul feat counter the negative efect of wilding?
As I read it the wilding feat makes you count as an animal when it comes to harmful magical effects.
Wilding:
You are treated as an animal for the purpose of harmful mind-affecting effects that target animals (such as charm animal).
But the Animal sould feat lets you chose to not be affected by spells that do not target both your actual creature type and aninals, so yes having both should allow you to not be affected by effects that target only animals.
Animal soul:
You can choose not to allow spells and effects to effect you if they would not be capable of affecting both your original creature type and the animal creature type.