Padfoot has a point, mate. I don't think anyone identifies with his Animagis more than Sirius. That's a really powerful connection. The question though is why? How did Sirius connect so deeply with that Animagi? Where did that essence come from? For you, you've come to accept the wolf. Do you fully embrace it though? Or are there parts of you that still loathe it? I think based off how you worry for other's wellbeing, when welcoming them into such knowledge, is telling enough.