Naaa you're way off... let's analyze possible alliances and foes:
North America you have the US, Canada, Mexico, Cuba and a bunch of Latin American countries
South America you have important players like Venezeula, Boliva, Colombia, Chile, Brazil
Europe: You have GB, France, Germany, Spain, Italy, Scandinavia, Poland, Serbia, Former Yugoslavic nations, Eastern European countries (not mentioned), Former Soviet nations in Easter Europe, Greece, Cyprus
Russia:
Former Soviet Middle East: Asian Former Soviet nations (Azerbajan, Armenia, Georgia, Uzbek, Kazhak, Tajik, Turkmen), Kurds,
Middle East: Turkey, Syria, Egypt, Israel, Jordan, "Palestinians", Lebanon, Saudi, Yemen, Other Saudi tiny nations, Iraq, Iran, Kurds, Afghan,
North Africa: Libya, Tunisia, Sudan, Somalia, yadda yadda yadda
Far East/Pacific Asia/East Asia: India, Pakistan, Bangladesh, Kashmir, Nepal, China, Japan, Taiwan, Australia, Malaysia, Indonesia, North Korea, South Korea.
1. I see the US aligned with Canada. Mexico and Latin America not doing much. Cuba to be against the US. Colombia with the US as a minor ally. Bolivia and Venezuela will be against the US, but will have civil war much like Spain had in WWII and were considered more towards the axis power compared to the allies. Brazil will be on the side of the US, but not militarily. All the rest will be neutral.
2. In Europe you'll have NATO, so they will go where the US goes. If there is no NATO, I can expect Poland to be a big ally with the US along with GB and potentially Germany and Italy because their countries will be threatened. France will be in a civil war and will give moral support to the US. Spain will be stuck in neutral since they have no money. Greece will support pro west allies with some troops as well.
3. Here is where it gets complicated. What about Balkan nations? Serbia is considered the bad guy according to the US and the actual bad guys are friendlier to the US. Quite frankly, I don't think any former yugoslavic nations will allow themselves to be pulled into a war. However, the non Serbian ones may harbor some bad guys. The worst of those nations will be Albania and Bosnia while Serbia will be the hero and rooting out those bad guys since this will help their security situation. If they were all to go in to a war with each other there would be a stalemate. So personally, I think they will stay out of any major conflict unless they have a prior arrangement with a major nation.
4. Eastern European nations: They will generally be on the side of NATO/US since many of them have Muslim problems also. However, there will be strife within many of those nations. Former Soviet blocks will also side with the US/NATO, but will have sympathies with Russia due to business arrangements. Probably stay out of any major conflict unless their borders are attacked
5. Russia: This is where it gets complicated. Russia is friends with many US enemies and act like non enemies to the US from my point of view. I don't believe the US and it's allies will fight each other directly. And I believe Russia would do the sit and wait attitude and see how badly the US gets bruised before Russia can capitalize strategy. Even if the US does something about Iran, Russia will sit back and laugh because they already made their money with helping Iran. But the truth is, Russia, in particular, doesn't care about any except for Russian interests. A WWWIII with them not physically involved will lead to a more influential Russia with a new UN moved to Moscow. Russia will only fight if their borders are breached or directly attacked and they also have a Muslim problem that is under their control. So in a nutshell, Russia will not pull itself into a conflict and may play a role as a "peacemaker wheeling and dealing nation".
6. Asian former soviet blocks will side with Israel with the exception of Tajik or Turkmen, who will have civil wars of secular muslims vs. religious muslims. Uzbek will start out on the good guy side and then turn bad guy, Krygistan civil war, Kazhak-neutral. Azerbajan, Armenia, Georgia will be with Israel and so will Greece and Cyprus. Israel will be with the US. All of the Muslim nations against Israel and the US.
7. India neutral but will have civil war. Pakistan against the US and aiding Muslims in India. Iraq and Afghanistan wastelands which will claim neutrality, but will be on the side of the the enemy. But a result of a WWIII, will help stabilize their nations since their muslim enemies next door will have all the issues.
8. China will directly be against Japan and Taiwan. North Korea will be against South Korea with US help. And once that happens, North Korea will join the enemies of the US. China will stay out of it only to capitalize from the result. However, Japan will join with the US and South Korea and may force China into a conflict against the US. Russia will still stay out of it. China will strengthen their ties with the Middle Eastern enemies of the US because now they get all the oil and now can redistribute it. In the event their is war between China and the US and then there is a stalemate, Russia will serve as a peace broker, reaping much of the benefits. Russia will be China's friend more than the US much like the UN is more friends with the enemies of Israel than friends to Israel.
9. What outcome is to be expected? Canada becomes stronger than the US and an important world power on the side of good, while the US declines further and looking more like Mexico. Brazil will be come a very rich nation investing everywhere and so will Colombia. Bolivia will become irrelevant and so will Venezuela and Cuba. The US will only climb out of its rut once it becomes oil independent and uses its other sources like coal,natural gas and shale oil. The US will succeed and become a world supplier and become a top nation again.
10. Europe will be the same. Irrelevant, business as usual...siding with no one.
11. Russia, I said it already
12. Balkans, WWW 4 50-100 years later. Everybody else the same. Poland a little better off.
13. Israel and its allies will win. There will be stronger ties with those pro Israel nations and they will blossom into technological nations. All the Muslim nations will lose, but will still make oil for China. All of them will not change their ways and even Iran will become like Afghanistan..a total wasteland. Pretty soon, anyone with oil will drown in it and it will become useless once the US has their alt. sources. Oil will be something from the past.
14. Japan and South Korea...completely devastated from a war with China and North Korea. North Korea will become tight with China in every way and won't lose as much. Japan and South Korea will be in a state of rebuilding and losing their connections with the US since they will be of very little help and they will eventually change regimes to be more China friendly.
15. North Africa? Cess pools..they will be come irrelevant also...and only remembered for their sandy deserts and camel jockeys.