Is psychological inclination and the love of reading extensively about our master Ali, more than the rest of the Companions—despite loving them all—considered a violation of the belief in the superiority of Abu Bakr, then Omar, then Othman over them?

What was mentioned does not contradict the creed if it is believed that the order of superiority is: Abu Bakr, then Umar, then Uthman, then Ali. This is what has been settled upon by the People of Sunnah and Community (Ahl al-Sunnah wal-Jama'ah). Your inclination to love Ali and read about him does not mean preferring him over others.