PoD 1:
Ron Paul runs on the Libertarian ticket, with Bob Barr as his running mate, and war as the prime issue.
PoD 2:
Cheney and allies carry the day, and US bombs the Roki Tunnel to keep Russian forces from entering South Ossetia quicker.
PoD 3:
Texas elections officials decide to abide by state election law, and deny the tickets of Obama-Biden and McCain-Palin ballot acces, as they both failed to meet the deadline.
As OTL most US politicians of the three major parties (Democratic, Republican and Connecticut for Lieberman) repeat the line that Russia is the aggressor. Obama is under fire for his remarks calling for "both sides" to show restraint. Politicians rally around the Bush administration- with the exceptions of antiwar Democrats (including Kucinich, Feingold, Waters and Rush) and certain Republicans (notably Walter Jones and Dana Rohrbacher). The shifts in endorsements make national news. As the US strikes Russia, the Paul campaign points out that Georgia broke the ceasefire and pledges to stop the war. While the media follows the political lines, they can't deny their original reports. Paul is denied access to the first debate, which is surrounded by protestors. He's granted access to the second debate, which is ruled as a tie by the media- but not by online polls. Paul and his allies work feverishly to get undecided voters, new voters, disgruntled voters out. He narrowly prevails.
Incidentally, while much of the Paul Presidency has been reversed, his foreign policy has proven to be very popular, not merely in the US but overseas. Prime Minister Davis of the UK's revolt against Then-PM Cameron over the Libya bombing was said to be inspired by Paul. And, while PM Layton of Canada compared then-PM Harper to Paul, he was convinced that NATO withdrawal was a good thing by Paul's withdrawing the US from NATO. Russia and the US have never been closer. One side effect of President Paul's sending ambassadors to the ROC was a reduction in business with the PRC- leading to an increase in American jobs. Finally, his recognition of South Ossetia, Abkhazia, Somaliland, Western Sahara and Palestine helped integrate those nations into the rest of the world- and benefited Kosovo too. (To be fair, much of Europe has a lower opinion of the US- though more for its domestic policies. (The UK and Spain aren't fond of certain comments in favor of recognition should certain regions declare independence.)) The Gulf states are not big fans of Ron Paul, though the new transitional government of Egypt is. Pakistan is very much upset at being listed as a state sponsor of terrorism. Georgia and Israel still appear to be bitter. The PRC is still upset.