Jesus, man. I really hope you're not this dense.
The Republican Party has veered hard right. The people you're referring to haven't moved anywhere. The parties moved. I only voted for Democrats in local elections until the last few. My views haven't changed. I still believe in actual conservative ideals (small government) but I'm actually logically consistent in that. Small government also means stay the fuck out of my bedroom and how I rear my children. Also, and this is the key part that the troglodytic Republican base doesn't get, that means stay the fuck out of other people's bedrooms and parenting, too. And since the Republican Party has never actually been fiscally responsible and it's only gotten worse, there is now no reason not to vote for Democrats. At least they work to protect social liberties.
Also, to be clear I very rarely voted for Republicans in federal elections either, but now any sane person who actually believes in liberty as more than a bumper sticker has to vote directly against them. I always saw through the bullshit they spewed about fiscal responsibility.