much as 可以是复合连词,引导让步状语从句。但这里显然不是让步关系。所以这里为副词much 修饰 as, as引导比较分句,much as在此大约等于just as, 就像...一样。
这个定语从句为嵌入式定语从句,I had some idea被说话人用作 I knew . which在I knew的宾语从句中作主语。或者说which在 I had some idea 后的同位语从句中作主语。
I don't know you are his brother.
I have no idea you are his brother.