ismaili/aga khani

do you have it traced back to Hazrat Ali (ra)??? for example here is Sheikh Habib Ali’s lineage:

Ali Zain al-Abidin (Habib Ali)
son of Abdul-Rahman
son of Ali
son of Muhammad
son of Alawi
son of Ali
son of Alawi
son of Ali
son of Ahmed
son of Alawi
son of Abdul-Rahman Mawlah al-Arsha
son of Muhammad
son of Abdullah al-Tarisi
son of Alawi al-Khawas
son of Abu Bakr al-Jifri
son of Muhammad
son of Ali
son of Muhammad
son of the Ahmed
son of the al-Faqih al-Muqaddam Muhammad
son of Ali
son of Muhammad Sahab Murbat
son of Ali Khali` Qassam
son of Alawi
son of Muhammad
son of Alawi
son of Ubaidullah
son of the Ahmed al-Muhajir ila Allah (trans: the one who made an exodus to the Divine presence)
son of Isa
son of Muhammad al-Naqib
son of Ali al-Uraidhi
son of Jafar al-Sadiq
son of Muhammad al-Baqir
son of Ali Zain al-Abidin
son of Hussein (the grandson of the Messenger of God blessings & peace be upon him)
**son of Ali **
son of Abu Taleb, may God ennoble his countenance,
the husband of Fatimah al-Zahra
daughter of the Messenger of God blessings & peace be upon him.