Sorry that half-truths presented in a way intended to be wildly misleading is still a lie.
People switch parties for lots of reasons. Racist/Segregationists did not move from the Democrat party to the Republican party because the latter was more amicable to those ideologies. It never happened. William Fulbright, Robert Byrd and Al Gore Sr. were lifelong democrats. George Wallace was a Democrat until he had to create his own party so he could get his ass kicked in a Presidential campaign.
Here's some factual history for you, presented with context;
Prior to 1860, there were two political parties; The Democrat party (officially known as the 'Democratic Republicans'), and the Whig party. The former advocated state's rights, while the latter favored a centralized power base. When the terrorist John Brown put the issue of abolition into the national consciousness, people became aware that their party politicians were a mish-mash of positions of the issue. At that time, the small gov't, state's rights advocates also happened to be the pro-slavery crowd.
Enter the Republican party. Established on the platform of abolition, they quickly drew abolitionists from both 'establishment' parties into their ranks. The Whig party all but ceased to exist, and the pro-state's rights (pro-slavery) Democrat party absorbed the remaining small-government, state's rights (slavery) Whigs into their ranks.
In the decades after the Civil War, Lincoln's (arguable unconstitutional, but necessary) proclamation and other Federal efforts to forcibly end slavery and segregation had an unfortunate side effect; States rights had eroded away and power was increasingly centered in Washington.
Fast-forward 50 years. Woodrow Wilson and FDR in particular, enacted sweeping changes that further empowered the Federal Gov't, and began to transform the US into a welfare state. World War II gave FDR another excuse to further engorge Washington DC's power over the states.
Moving ahead to the Kennedy and LBJ era, Certain Democrats, such as Strom Thurmond, had either had a change of mind about segregation or realized that it was a lost cause, left the Democrat party and joined the GOP because the swelling power of Washington and welfare dependence were rapidly becoming the more important issue.
So you see, when you actually look at ALL the facts, IN historical context, and not just the ones you've cherry-picked to support your fallacious assertions, it paints a very, very different picture.