Is it just me or does anyone else see the Norman conquest as illegal?

This is somthing that is really close to my heart,i dont want any stupid answers like"it happened,get over it".Only answer if you have a braincell capable of giving it a genuine answer. Firstly, id like to know why, when the Normans venerated Edward the Confessor why the line of Kings does not start with him being Edward 1st.Secondly William the gave Edgar Aethling (the ligitimate next in line to the throne after Edward) land? Was this an admision that he stole his throne? Also, a long line of Norman decended arisotracy still hold power over our lands to this day.If illegal, who should be running our country?