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You ever heard of the great political switch? Its where the values of the political sides swapped

Which never happened...

If it never happened, how come southern conservatives used to vote Democrat and now they vote Republican?

Because the Democratic Party adopted anti-segregation stances, whereas the Republican Party never did. There was never a switch.

There was never a switch. They never swapped values.

In the 20th Century, the Democratic Party began to progress.
The Republican Party chose not to.
So there was no switch, the Democratic Party just decided to allowed change.

The CRA that was signed into law by a Democrat president

And he didn't just sign it, LBJ really really pushed for it.

The majority of votes for it came from Democrats. Without them, the Civil Rights Act would not have been passed.

Southern* Democrats filibustered the Civil Rights Act for 75 days.

Northern Democrats did not.

And when Democrats passed the Civil Rights Act and went on to desegregate the South, White Southerners started tearing up their party registration cards and joined up with the Republican Party which didn't have as much a problem with segregation.