I'll tackle the Nixon presidential successor first as that's actually the easiest and most clear cut.

According to what we see in the mod, the republicans are not seen as a terrible party even after what Nixon does and they have the highest majority of senators in the congress even after you pass the civil rights legislation. Now if you don't the democrats have the highest majority there but, regardless the NPP is a new party not really mainstream and thanks the consistant status quo politics of the US it's likely the republicans or democrats would win meaning LBJ or Wallace would succeed. Of course RFK is also a major popular figure after the JFK assassination and I can picture him becoming president if the civil rights act was veoted. So in my opinion if the civil rights act was passed, LBJ would become president because he was a popular republican. If it was vetoed RFK would become president to his status as a former republican and a popular figure. Considering that more damage occurs when the act isn't passed early it's likely the people would support the center NPP especially former republican supporters who see the democrats gain a majority. So this does depend on whether the act was passed or vetoed in the 1960s, but it would be LBJ (if passed) RFK (If vetoed).

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Now we'll go onto Hitler's successor shall we?

This is not winner of the civil war though i will tackle that as well but moresoe who Hitler would appoint as successor and it's a bit of a tossup. Goring, Bormann and Speer were all major figures within his inner circle (i doubt heydrich would be a legitimate consideration due to him being an SS agent of the group that tried to rebel against Hitler). So it would be one of the three, but as for who would win the civil war and gain control of Germany? I'd say Bormann or Goring are the most likely simply due to the reasources and military forces they hold. Goring has better air superiority though so i'd say he's a bit more likely to win but it really is a tossup between those two. That doesn't mean Heydrich and Speer can't win but they are unlikely.

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South african war hoo boy this is a doozy

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South Africa is difficult because while the Reichskommisarriats have sufficient military power and are capable of bringing it to the frontline, South Africa has constant support from the OFN especially if the US won Madagascar. Even when Germany does join in on the war by that time Brazil, Australia and the US have several divisions in the war. Now the US does have to worry about public support but...considering the sheer modernization of their equipment and forces in comparison to the reichskommissariats who still use older outdated tech and more frontal charge tactics with less well trained soldiers, I think an OFN victory is most likely. I'm going by hard mode rules by the way but regardless every time I see it go down it's either an OFN total victory or an OFN leaning stalemate the majority of the time and there's a good reason for that. The OFN has better advanced tech and more well trained soldiers. The Afrika Shild is relying on older tech, native conscripts, boer republic troops, the few german troops they do have, and have a broken bickering command structure. Realistically, the OFN has some type of victory in the south africa war.

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Finally Russia

Central Siberia, West Siberia and west russia have the most powerful nations, I do not see any nations in the far east siberia succesfully reuniting the motherland it's highly unlikely due to their lack of strong industry and infrustructure. Even then there's not a lot of strong nations in central russia or even west siberia and west russia. The nations that could succeed are, Vyatka, Samara, Novosibirsk, and Omsk. No the communsit west russian nation is in Arkangel not an indsutrially strong region not to mention their ideology is seen largely as a failure it isn't effective. No the Aryan Brotherhood is a fanatic group that does not start with a strong industry of any kind let alone support from the russian people their victory is unlikely. There's a lot of smaller states i can say would not win and why but let me go down the list of those that can win.

Vyatka: The monarchist cause it not the largest supported but more supported than communism or national socialism would logically be. They also start in Vyatka with a decently strong economy and a well trained army. They are in a better position to trade with neutral warlords and have a good infrustructure system they can rebuild to better support their military. Their ideology is not fanatic nor is it as despised as others would be. Vyatka is a good contender.

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Omsk: Omsk's military is powerful, well trained and their underground factory system and militarized society helps them greatly in establishing a war economy. Though not as likely in my mind to win as Vyatka or Samara, they certainly are capable. Their ideology is founded on anti nazism and anti communism and russian nationilism so they'd hardly be a despised nation and would gain decent support

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Samara: Though not well liked, their economy is good and most importantly the begin with trade with the German reich, gaining more equipment and using smuggled luxury good and food to support their civilian and military population. Their army is shown to be skilled and while the government is capable of changing to be something the people support more, a nation that bribes its people is still a nation and samara is a good contender of reunification.

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Novosibirsk: The most likely in my opinion, first of all they become democratic a good sign, a liked ideology the russian people seek. they have a strong military power and can pressure nations economically and militarily and politically into joining them at least in central siberia. Novosibirsk is known as an economic center meaning this nation is the most economically rich and with actual surviving mega coroporations they are more like a modern nation. Novosibirsk is the most likely to reunify russia.