Last question first: Berlin is not worse than other areas, its probably slightly better. It`s just that because of public visibility everyone loves to move their demonstration to Berlin as pictures of demonstrators outside parliament are better for publicity than if they`re somewhere in the middle of nowhere in Saxony. So people are coming from all over Germany with buses to Berlin for the weekend and then feck off again. Also, big majority of national and international press is based in Berlin and coverage is therefore skewed.
I`d say the eastern German states are slightly "worse" when it comes to Corona and lockdown scepticism because right-wing anti mainstream attitude is proportional bigger (the right wing AfD scores highest in these rural states) and also because scepticism of the state and government is (understandably) historically bigger due to the GDRs legacy. A third aspect could be the slow emergence of German "Bible Belts" around Saxony and the Stuttgart region where strong conservative traditionalism meets evangelicanism in a mix of rejecting anything about "modernity". The last decade has offered plenty of demonstration opportunities (Pegida, Stuttgart 21, now Corona) to strengthen their ressources and structures.
As for the political split: I wouldn`t read much into the "left wing" aspects of some demonstrating groups. No left wing party, no bigger activists and no leftist street movement (e.g. Antifa) is involved in the protests. The reason why some is branded as leftist is due to a big emergence of esoteric "Spread love" gibberish that many identify with (Nena the singer as the most famous of these conspiracy fans) who wave rainbow and peace flags at these demonstrations and some anti-globalist branches who have been around for a while and are often mistaken as leftist because they tick a few boxes (anti American imperialism, anti big corporations) but are riddled with xenophobic, antisemitic, islamophobic people.
