Just an alternate United States I came up with while working on a concept world, so you can see this as a small teaser for that project. Also please note that this is also heavily inspired by Basically stateside the US didn't annex Texas, the Civil War was averted, slavery only ended in the late 1890s, and at the beginning of the 20th century intense constitutional reforms resulted in what essentially amounts to centralization, the formation of the autonomous Confederacy of the South, and the creation of several "free republics", effectively territory-like entities intended to separate minorities and "treat [them] properly". OTL's Amendments XIII, XIV and XV (the Reconstruction Amendments) never happened, so discrimination based on skin color is widely commonplace ("free republics" also cannot vote in national elections) and public life nationwide tends to be segregated by race.
1) The City of Washington recently became a "city-state" as part of the centralization efforts, being granted full voting rights and getting rid of sole Congress control.
2) Virginia remains united due to the averted Civil War but there is once again a movement that wants to split the western portions of the state off of Richmond.
3) The Confederacy of the South established several "free republics" in areas where blacks were dominant in order to protect the "Southern way of life". Due to the Confederacy's ability to halt migration from these areas northwards, few African Americans live in states that did not use to have slavery in the 1860s.
4) As part of the compromise that resulted in American centralization, the Confederacy of the South was created. In exchange for keeping certain privileges, the South has to cede some as well. In the electoral college the South acts as a single entity, and they also can only send two senators to Congress as if it were a single state instead of six. However they do still send representatives to the House of Representatives like normal.
5) Furthermore the government in Washington insisted on having full control over New Orleans and the mouth of the Mississippi River, which was also spun-off as a "city-state" like the City of Washington.
6) All of the free republics outside of the South are designated for Native tribes. Effectively they are little better than reservations, and they, just like the free republics in the South, send a single delegate each to the "Free Republic Committee", which acts as an advisory body to Congress and the federal government. This even applies to Sequoyah, which has a larger population than a couple of US states.
7) The Pacific northwest was divided differently than IOTL, largely thanks to the averted acquisition of California.
8) Texas is America's closest ally and one of their key trading partners. Just like the US their public life is heavily dominated by the factor of race and the legacy of slavery still looms.
9) California is an interesting nation. Born out of a movement similar to Texas's, California was established as a slavery-free nation. Race-relations are less of a problem despite the country's diverse populace. Only native American tribes such as the Navajo, Ute and Apache, all living in the sparsely populated interior, are causing problems and generally lack voting rights.
10) Mexico, less devastated by war and lacking the American giant on their border, is slightly richer and more stable than in our timeline. Relations with California are okay, while relations with Texas are still cold. However their biggest partner is France, who in the 1860s together with the Spanish intervened in the country and established a new monarchy under a cadet branch of the prestigious House of Habsburg.
11) Canadians are rather worried about how their neighbor down south is doing. Thankfully American isolationism and British guarantees mean that Canada is safe from invasion.