i am sorry sir but u cannot wiggle ur way out of this by simply saying my understanding is simple three points u listed are definately ithna ashariyya or twelver shia ideology.
now do u claim that this sect was in existence in the time of the Prophet ?
but since you have admitted your ignorance of various divisions between proto-shias and proto-sunnis plz first review them before coming for a "debate" I would suggest Heinz Halm's books on shiaism as a useful templete to build on ...its objective and free from anti-shia polemics
firstly shia is presently just a layman's term for the 12er sect, it does not represent them all. secondly shia being a word in Quran does not mean a thing , shia in its present term is not interchangable with its original use in the first civil war thirdly i am familiar with the exhaustive process of retrospective justifications which 12er scholars have done by presenting a revisiont view of history quite similar to what modern day nawasib have done] so u have not told me anything new.
True descendants of Prophet Mohammed are called Sayyads. Sayyads are further divided into several groups such as Kazmi, Rizvi, Zaidi, Jafri, etc. Each group represent the descendants of a particular Imam. Such as Kazmis are the descendants of Imam Moosa Kazim (ra), Rizvis of imam Ali Raza (ra) and so on and so forth.
So if someone asks where is the lineage of Ibrahim (as) today. The answer is Najeeb O Turfain Sadaat (both parents sayyad all the way from Mohammed (saw) to that person). They are the present day progeny of Ibrahim (as) and Mohammed (saw). Shia and Sayyad are interchangeable terms.