I think one of the biggest theological misunderstandings of Judaism of the Christian tradition is the idea that Jesus came to abolish the law, when He came to fulfill the law (Matthew 5:17). Replacement theology sees Jesus as replacing the Jewish people (and his covenant) and transferring it to the Church. I never grew up with this theology but it is extremely prevalent in Christian thought. I agree with you that it is important for us (Christians) to aim to understand the Jewish worldview to better understand our differences and similarities. As Christians, it is impossible to effectively witness the Jewish people without understanding how their worldview rejects or does not make room for Jesus. I also think it is important to understand the differences in Jewish theology. Similar to different sects of Chrisitninty there is variance in Jewish belief.