Humans would have a government, maybe a king\queen 

Spirits I don't imagine having a ruler.

Beastman I think would have tribes and tribe leaders, depending on what type of beast they are half of. Some species maybe none. having no over all ruler

Both Elf, Fairy and dwarf would have a king

Half-lings what ever race they chose being half and half.

And dragons would either live in small groups and have one in charge or live alone\with their family depending on their species with no overall ruler

Angels, Demons and Lorilal I'm not sure about.