Is the USA's flag in the UASR viewed similarly to how the CSA's flag is viewed in the USA in OTL? Are there furious pro-burgueoise nationalists who put USA flag stickers in their pickup trucks anywhere?
In that case, how is the CSA's flag viewed in the UASR?
The USA flag is forever tainted in UASR popular imagination with McArthurite fascism and the illegitimate occupation regime in Havana, if not for the organizations like the Sons of Liberty that may use the USA flag and the CSA flag together. The McArthurite regime already uses both. Even True Democrats may balked on expressing anti-communism through such unpopular imagery associated with the Second Republic and is already tainted by the Second Civil War, given that their hero is the revolutionary martyr Huey Long. It's more like the situation of the Japanese Communist Party in expressing opposition to the usage of the national anthem and the national flag by the Japanese state, but doesn't have a replacement to them as a coherent proposal. Nevertheless, the United States flag is being used on the Fourth of July given that it's still celebrated by the UASR as American Independence Day. It may even be used as part of the African National Republic's celebration of the 1862 Emancipation Proclamation, though it's not the 48 state flag but the Union flag of the era that will be displayed. The Stars and Stripes are appropriate for to use in those holidays but as a popular expression of anti-communism through a liberal democratic lens, you can't use it as a means of gathering as little of dissent to communism as you can around you, given that there are competing tendencies like the Strasserites, especially by the postwar era.
I believe that the Confederate flag is legally banned for the time period, but it will be lifted on the postwar era. It doesn't really matter that much because the American educational system made sure to destroy the myth of the "Lost Cause of the Confederacy" especially for the new generation of white Southerners, despite the continued white supremacy in the Southern republics (though not through Jim Crow as its manifestation).
Remember that even the progressive bourgeoisie tentatively embraced Marxian social democracy, Robert Taft is among them, or if you carried over swathes of your old conservative ideology to the new regime, mutualisme or moderate individualist anarchism. There's enough overlap for the DRP with the Fabian right of the Workers' Party and the individualist/egoist sections of the ultra-left and the American Libertarian League. Through that, the DRP should embrace the red/black flag and the Internationale. The full-scale distancing of the social democratic movement from Marxism did not happen and will not happen ITTL. I am not talking of the conflict within the socialist movement because of World War I and the Bolsheviks that is already happening because social democrats of the era are still Marxists but with a reformist political strategy. Social democrats by the time of the Cold War IOTL became Keynesians. That's not going to happen ITTL, especially if Keynes became one of the ideological fathers of the People's Alliance in the FBU. Keynesianism is associated with postwar modern capitalism ITTL and given that there will be no similarities to the Bretton Woods system's creation and its failings, the 1970s energy crisis and the stagflation; Keynesianism will remain the predominant economic school in the capitalist bloc as of the 21st century. It will also mean that the capitalist crisis (especially in the FBU) will present itself differently from the 1970s; not through the dramatic concentrations of private wealth or the decrepit infrastructure or the extreme austerity measures or the dismantlement of the social welfare state. As discussed, it will look more like that of the Lost Decade in Japan. Slow growth and high public debt. But otherwise, the trains still look shiny and modern, the roads look great, the homeless do not sleep in the streets at night, and despite the lower benefits and the death of near-guaranteed lifetime employment in companies for the Millenials, you can still get a job. British India and the Global South may look more like IOTL China in expressing its inequalities, but there's still room for some growth and it all keeps the capitalist system going, despite the Red Sea threatening the swallow them whole.