"Your source even has a whole 5-8 pages talking about how all of the Genealogical and ancestral claims Sudanese people make are allegedly BS."
My source is doing the opposite of that actually and setting a historical framework for the genealogical claims of the Sudanese Arabs and determining which ones are true and which ones are not. It acknowledges the al-Abbasi lineage of figures such as Ibrahim Ja'al and frankly whether or not all the members of a certain tribe are descended from one man or not isn't particularly relevant because tribal affiliations don't work like that and pedigree collapse over the centuries ensures that anyhow all members of a certain tribe will sooner or later all be related to each other regardless. Page 6 touches upon the validity of his lineage.
Page 6 outlines the "Probability" that Ibrahim was an Abbasi. While not impossible, I'm not looking for probability. If they claim that lineage then there should be evidence to prove it and the ones making the claim should be the ones to provide it, not onlookers like me and you and other researchers. If Ibrahim being an Abbasi is something probable I think I want to leave it at that until something more compelling comes to light. The Sudanese Arab claim is that they all have this Abbasid lineage, your source conflicts with that even if it is settling for partial truth in the claim that some Sudanese Arabs may have Abbasid lineage. Page 6 concludes that even if the claim of Abbasid lineage was true it wouldn't hold to be absolutely true in the sense that all Arabized Nubians descend from the lineages they claim and that if anything only some Arabized Nubians probably actually have Abbasid lineage. However a very useful and interesting set of sources you have there. If you know the name of the book drop it because I'm very intrigued with what else is in this.
The Fall of Nubia this source is alluding to is not the final fall of Makuria in the 15-16th century but the sack of Dongola and initial occupation by the Mamluks in the late 13th century - an event that was not a matter of waiting but the matter of a Muslim government to the north violently crushing the Kingdom of Makuria and the subsequent power vacuum that followed after the death of Baibars. In fact, much of the decline you speak of was directly caused by the inability of Nubian monarchs to handle the migration of Arab tribes into the region.
That clears things up. I don't discredit any military action from the Mamluks that was significant to Makurias downfall I'm torn on the fact that you're failing to make the distinction between Mamluks and Arabs. The Mamluks acted militarily, and the Arabs migrated and destabilized the region. The Arabs weren't the conquerors. This isn't about pride or cope. You could talk about the Abdallab conquest of Alodia but then that makes me ponder where we draw the line between Arab tribes and Arabized tribes. At this point in time the Rufaa were well integrated into Sudan and had settled the region for quite some time, I imagine similarly to modern-day Arabized Nubians they would have consisted of a merge of Arab Nomads and sedentary natives so do we still view them as an example of Arab militarial success? And as for Nubian monarchs, in the same breath, you can say the Arabs are also responsible for Makuria's decline. If a nation grows weak and is penetrated by foreigners that gradually weaken it further, the rulers of that nation are responsible but so are the foreigners who are directly causing harm to weaken the state in question.
The problem with this assumption is that as I have already shown, Abdallah Jamah had already conquered Alwa by this time and taken up the horned crown. Had the Funj not come, Abdallah Jamah would've held rule over a similar territory and carried out Arabization perhaps even faster than the Pagan Funj.
Which page are you referencing specifically? And when I mention the role of the Funj their role extends all the way before Nomadic Arab intrusions actually started showing noticeable demographic effects all the way until Arabs started actually getting a hold on to influence across the land and Arabizing the tribes So when you mention "this time" I am not referencing any specific time frame, I am referencing the Funj's entire existence and how it is significant to the modern construct of the Sudanese Arab identity and its role in Arab identity coming to be so dominant in Sudan. As for the Arabization involving the conquest of Alodia, I doubt it happened over such a short period of time so rapidly. Arabization associated with the Abdallab probably came to prominence when they were appointed as viceroys by their Funj overlords. Also, some Sudanese scholars have made reference to the Funj somewhat assisting the Abdallab in their conquest of Alodia, the Funj Chronicles by Katib al-Shuna is a long read but mentions this. But this is irrelevant to the fact that after the Funj won over the Abdallab and ruled over them, this is really where the big steps were taken towards what would then come to be the Sudanese Arab Identity.
Also are you Somali? You seem to know a ton about Sudanese history