It is more conservative than the north but German conservatism isn't quite as vile as the American flavor.
"Conservative" politicians here want to keep taxes for the wealthy low, suck off car manufacturers, keep marijuana banned ("it's forbidden because it's illegal"). In Germany, trying to enact an LGBTQ genocide is not really an ambition of the conservatives but of the fascist AfD which is strongest in eastern Germany but in recent polls got an uncomfortable 20% nationwide.
"Conservative" people in southern Germany will go to church, give you a weird side-eye if you work on a Sunday or have dyed hair, wear checkered shirts and get shitfaced at the biweekly state fair. Most are quite nice personally.
The towns and cities are way more progressive than the countryside and especially Munich which has had a socdem mayor for quite a while now. Hell the last csd had like half a million people, that's nearly a third of the population.