Our problem with shiites isn't only that they, as a group, have historically been traitorous and murderous (what seems to be your basis for hating Yazeed). The more important issues are doctrinal. From believing the imams to be greater than the anbiya, to believing the quran is distorted, to attributing things to the quran which aren't there (like the belief in imamah)...this is what makes them kafir. So you see, we can never "resolve" our differences with them. The gulf is virtually unbridgeable. Besides, I have never seen any sunni masajid where they regularly preach hatred of the shiites. And if they are mentioned, it's not to preach hatred, but to inform the people about them and their beliefs. The hatred is not for the person, but his kufr and his cursing the sahaba, as well as any injury he may cause the Muslims. That said, yes, most shiite laypeople (at least where I live) don't really know what their beliefs are, and don't make a point of cursing sahaba. They are just shiite in name, you could say. Most are secular and/or non-practicing.