Arthas's entire campaign to Northrend was a grand spectacle staged by Nerzhul with the permission of the nathrezim in order for Arthas to become the champion of the Scourge. I think that Nerzhul convinced the Nathrezim that without Arthas, the fall of Lordaeron would be much longer and more difficult, and that the mighty champion would strengthen the Scourge and bring the Legion’s Plan closer to fruition.
Mal'ganis voluntarily participated in this spectacle. He knew that Arthas would take Frostmourne. All he didn't know was that Nerzhul would order Arthas to kill the demon. This was most likely explained to the other dreadlords as the prince's last act before completely submitting to the Scourge - or as a necessary sacrifice for the Plan to be realized.
In any case, while the Scourge carried out its part of the Plan, the dreadlords were forced to come to terms with this - but Tichondrius's attitude towards Arthas throughout the undead campaign clearly indicates that the demons do not tolerate this mortal and do not trust Ner'zhul. The apotheosis of all this is the Nathrezim conspiracy against Arthas after the fall of the Legion, when the betrayal of Ner'zhul became obvious for them.
Whilst some of that can be rather inferred than proven by facts, Mal'Ganis acted like Ner'zhul was somehow superior to him or at least a force to reckon with. There's an inconsistency here we don't have clear details about. Did Mal'Ganis submit to Ner'zhul distancing himself from his nathrezim brothers?
The demons didn't care about the undead or Ner'zhul more than them being their slaves doing what they had to do. Kil'jaeden locked Ner'zhul in the ice prison and turned him into undead. The nathrezim were some of the Burning Legion's higher ranking agents (perhaps something like the SS or NKVD).
I feel Tichondrious would have never tolerated the killing of Mal'Ganis. There was no innerfighting in the dreadlord order for Mal'Ganis to be taken out for some reason and a sacrifice plan was neither obvious nor logical IMO.
Ner'zhul's defence could have been that Arthas killed Mal'Ganis in Northrend before being corrupted and becoming a Death Knight, thus the undead orc slave coming out with clean hands. But this is only a deduction, not evident or shown in the game.
The dreadlords vs Arthas in TfT is no surprise. Once they realized Ner'zhul was no longer under the Burning Legion's influence, they understood he and his lackeys (+most of the Scourge) became the nathrezim and legion's enemies. Tichondrious coming to terms with Mal'Ganis' death for Ner'zhul's intersts is like agreeing that the Lich King is an actual king (not theirs but an important force) and not the legion's subordinate. That would make the nathrezim and probably part of the legion desperate to close eyes for the sake of hurrying with the conclusion in Kalimdor. I think Kil'jaeden could have done Ner'zhul harm which even if it could have slowed the Scourge a bit it would have not stopped the legion's advance as a whole. Plus, Kil'jaeden only became weary of Ner'zhul's powers after Archimonde's demise, thus contacting Illidan to take care of the Scourge.
I think there might be quite some plotholes in the whole thing. For instance, it's funny that the Scourge did exactly what the legion wanted but that was also their downfall because Ner'zhul had foreseen it. But at the same time the legion gave so much power to the Scourge, basically almost entirely using it to decimate par of Azeroth (the continent) as well as be the main force during the siege of Nordrassil. Moreover, they simply let Kel'thuzad get Medivh's book and have him summon Archimonde thus downplaying their own powers.
It's debatable if the fall of Lordaeron would have been slower since the main idea was to use the plague to eradicate everyone. That's where I think Ner'zhul interfered in the legion's plans for himself, by using Kel'thuzad to get Arthas to eventually be his release. But if the nathrezim knew Kel'thuzad's orders, they could have understood what the undead orc was trying to do so it's quite a stretch (again, Mal'Ganis feels disconnected from the other dreadlords). It's also weird that we only know of Ner'zhul's actual plan in TfT (so perhaps initially that wasn't the idea?) but it came with a condition, that the Lich King was in danger, Illidan et al coming to get him. Otherwise, would he have still done it later without rushing?
That's why I feel we should simply take the story as it is as trying to find intricate explanations is bound to get you hit walls and go through parts of the labyrinth again.
But perhaps I might not be too fluent in all of this and have holes of my own in the argumentation.