Salam
The call to help in God's religion also takes place in the Surahs under Qaaf and so this also pertains a lot to Imam Musa Kadhim (a) and his situation.
Aliflammeemraa is Imam Mahdi (a) because of the heavy emphasis that every people there is a guide. He is most need of this emphasis and so it pertains to him. There's more reasons then this, but this suffices I figured and won't tire people with other details.
The Hameem Surahs show the roots of disbelief and types and solution, and this pertains to Imam Hussain (a), because he was like the trial of she-camel, and if he was to be killed, it was due to people going back to those type of disbeliefs mentioned in those Surahs.
Saad is Imam Ali Al-Hadi (a) due to the emphasis on the "exalted ones" (Aleen) and the philosophy of also is linked with his young age. Imam Jewad (a) is more in need of Kafhayainsaad emphasis that takes place in that Surah under it, but Saad is expansion of this with respect to being chosen before coming to this world and wisdom of that.
Lastly, noon makes sense to be about Imam Reda (a) because the tone of those Surahs were done in a way till this day, people are pleased with them, and this phase of needing to "pleased" by enemies, was needed by Mohammad (s) and these Surahs were of this phase. Of course, when the truth of them became known and the popularity became threat, so then pagans went extreme, and it's same with Imam Reda (a) Sunnah, when he manifested enough truth, he was killed and the promise to him betrayed.
Also, there is a lot of emphasis that God is pleased with Mohammad (s) in these Surahs and hence the nickname Imam Reda (a).
Yaseen is about Mohammad's (a) ability to hear and understand revelation better then others. This is so important, because we may think we understand Quran and deny it, but do we understand it like Mohammad (s)?
This hinted in that the Surah before Yaseen emphasizes that believers hear and God makes them hear. But Mohammad (s) is the "O hearer of revelation" and the caller to it, and this needs to be understood, believers were taught the wisdom and purified by Mohammad (s).
The other major reason, is that "peace be upon the family of Yaseen" is mentioned in the Surah after Surah Yaseen which is the huge starter that these are letters about Ahlulbayt (a).
Given the emphasis on the Surah after, it becomes obvious "Yaseen" is addressed by God in similar way, and so all that leads to "peace be upon the family of Yaseen", and the Surah emphasized unity of Musa and Haroun, and stops sending peace upon the rest of the sent ones mentioned particularly after that. So Lut, Yonus, etc, they are mentioned but no "Peace be upon Lut" etc....
Taseenmeem due to Mohammad Al-Baqir (a) role in expanding knowledge and prayer regarding Haroun (a) pertaining to even AFTER (hopeful knowledge will spread), it's particularly about him. What shows this to be the case, is that one of these Surahs, the emphasis of Haroun (a) being brother is omitted. This is subtle, but also a serious hint.
Taseen is Imam Zainal Abideen (a) because the prayers and spiritual revolution is so important, we see Sulaiman (a) although rules and has so much signs and power, is called sorcerer. What is more needed is spiritual foundation, which his letter to Queen Sheba played a huge role in her accepting the miracle of her throne moved. The emphasis that God responds to the distressed one and removes the evil, this spirit is most embodied by how much prayers and the tone of them, by Imam Sajjad (a).
Taseen is also unlike the other Surahs, not in warning tone. It's in Bushra (good news) tone and shows what would have happened if Imam Hussain (a) revolution was successful and the treasure we would have in Imam Sajjad (a). This is subtle, but also these Surahs emphasize Soluiman (a) didn't value kingdom for sake of it nor his wealth, but was given something higher. So it taken away from Ahlulbayt (a) (kingdom) and Imam Hussain (a) killed, this also a pavement of how to deal with the after math. Imam Sajjad (a) legacy of prayers he left behind is remembered to this day while Yazeed and ummayads have no legacy left. Solomon's (a) kingdom also is gone but his words of guidance and lesson we take from it remains. Also, in this Surah it's emphasized that kings make low the honorable and make honorable the low. In reality, God honors and disgraces but we are talking about outwardly. This pertains to what happened to Imam Sajjad (a). Miracles by Imam Sajjad (a) were many including his teleporting to bury his father Imam Hussain (a). This Surah pertains to him more then others for this reason as well, his life was filled with miracles, that all acknowledge (sunni call them Karamat).
This now covers all of Ahlulbayt (a) and so the details have been given.