Salam, Peace,
here is my understanding, (Yusuf Ali translation

)
I seek refuge in God against Satan the banished.
Bismi allahi arrahmani arrahimi.
First of all, this totally reject sunnis view on intercession as per Quran, no where it says Mohamed will be intercessing on the Day of Jugement, nor Jesus (may God bless them).
In 2:48, 2:123, and 2:254 it is clearly mentionned no intercession shall be accepted:
2:48
Then guard yourselves against a day when
one soul shall not avail another nor shall intercession be accepted for her, nor shall compensation be taken from her nor shall anyone be helped (from outside).
The intercession will not be accepted from a soul, intercessor would not be a soul.
while in 20:109 and 19:87 intercession would be allowed in special cases, translation in these cases need re-check:
20:109
On that Day shall no intercession avail except for those for whom permission has been granted by (Allah) Most Gracious and whose word is acceptable to Him.
19:87
لَا يَمْلِكُونَ الشَّفَاعَةَ إِلَّا مَنِ اتَّخَذَ عِنْدَ الرَّحْمَٰنِ عَهْدًاYusuf Ali
None shall have the power of intercession, but such a one as has received permission (or promise) from (Allah) Most Gracious.
Pikthal
They will have no power of intercession, save him who hath made a covenant with his Lord.
Shakir
They shall not control intercession, save he who has made a covenant with the Beneficent Allah
My translation:
No one will possess intercession, but the one who has taken a promise from God.This re-check shows us people are the beneficiar of the "intercession" not the "actor/controller" of intercession, as by Quran no one shares "mulk" with God.
now the following questions naturally rise:
Who has taken a promise from God?
What is the nature of the "intercessor" as it cannot be a soul as per 2:48 and 2:123?
- Who has taken a promise from God?
as per Quran 2:63 (jews), 3:77, 3:187, 5:14 (christians), 6:152 (muslims), 12:80, 33:7, 33:15, 33:23, 48,10, 57:8
Those are the ones who will have an "intercessor" with God permission.
-What is the nature of the "intercessor" as it cannot be a soul as per 2:48 and 2:123?
If it cannot be a soul what can it be?
I personnaly think it is the Quran, why?
20:100
If any do turn away therefrom (Quran), verily they will bear
a burden on the Day of Judgement;
Then the opposite is true, by following the message, it will be a help on the DOJ
43:44
And lo! it is in truth a Reminder for thee and for thy folk; and ye will be questioned.
we will be questionned on the Reminder=Quran on the DOJ, so if we know and follow it, it will be a great help.
40:51
Lo! We verily do help Our messengers, and those who believe, in the life of the world and on the day when
the witnesses arise,
witnesses are the messengers 4:41, 16:89, 22:78, 33:45, and Quran reciting as per:
17:78
Establish regular prayers at the sun's decline till the darkness of the night, and the morning prayer and reading: for the prayer and reading in the morning
carry their testimony.
Quran reading at dawn is "what" will intercess for us on the DOJ.
confirmed by
10:61
In whatever business thou mayest be, and whatever portion thou mayest be
reciting from the Qur'an― and whatever deed ye (mankind) may be doing―
We are Witnesses thereof when ye are deeply engrossed therein. Nor is hidden from thy Lord (so much as) the weight of an atom on the earth or in heaven. And not the least and not the greatest of these things but are recorded in a clear Record.
Conclusion
Quran reading is part of our prayers, Quran reading is witnessed and can be a of great help on the DOJ
only and only if our commitment to God is true.
Allah knows better, may God guide and bless us.