It is more than the way a father accepts all his children. In that case, he accepts even the ones that are not continuing his exact ways. In the case of different groups doing Halachos differently, it is not a contradiction at all. What Hashem “really” wants is that you adhere to the Torah as interpreted by the rabbis. They are all doing exactly that!
Even when Rabbonim argue over a Halacha, it is true that each one sees his own view as the only truth. However, in the end of the day, the point is that they are doing what they understand, and that is the Halacha. I’m sure you’ve heard of the Gemara where Hashem quoted Tana’im and Amora’im. That is because what they understand, is the torah.