From the what is canon, it would also depend on which clans are hybrids with.  If it is two like Uchiha and Senju who are canon rival.  A hybrid of those two compared to a random hybrid would be different than if you have a Nara, Yamanaka, and any other clans that are known to get along in canon.  Then again canon never got into hybrid clan members.  I would find it interesting to see something come from this.