However, Ahl-e-Sunnah wal Jamah, Sunni, Ahl-e-sunnat, Ahl-e-Hadees are not from Quran or the time of the prophet so when did the word Ahl-e-sunnah wal Jamah and Ahl-e-sunnat came about and how? Some food for thought for you.
The Quran has ordained to call ourselves Muslim.
These terms are used just to differentiate from people of one considers to be diviant from the correct path. (Ahlul Bida wal Dalala)
Just like you call your group ( I am assuming that you are a 12er) Shia Ithna 'Ashariyyah or Imami Shia or Jaffari Shia
Others will be Shia Ismailiyyah and Bohris etc, etc
So, what's your point?
Show me authentic sayings of Hz. Ali (ra) and his noble precious sons (may Allah be pleased with them both) clearly stating that they were The Imams of the Time or claiming for themselves Divine Appointment for Imamte as you want us to believe.
If they were, they were duty bound to proclaim it just as the Prophet (saw) reminded the people at all times that he was the Messenger from Allah (swt) and that he was the last one consistantly.
Do you know of any such authentic narrations from above named noble Souls (may Allah be pleased with them)?