How is the parking in the afternoon during the weekend?

Definitely difficult !

I witnessed some surprisingly hostile behavior over parking spaces;(

Difficult

There are multiple parking areas. Parking in the one at the top of the hill (next to the model airplane field) is usually easier than the one at the bottom.

Try coming in the early morning or on Holidays. You'll be stuck waiting for parking if you come in the afternoon. It's usually like a 20-30 minute wait in the afternoon. Come at around 7:00 or 8:00 am