From the live update we found more on how the influence mechanic will work. As of now it sounds like you will not be able to add anything more than neutral and in clan characters in the dynasty deck. For the conflict deck you will only be able to splash from one other clan (up to influence allowed).
I like this thematically in how it can represent clan alliances. But I wonder how restricting it will feel to deck building. Overall, I think I am alright with the way it works. I was just curious what you all think about this.