No. Wombats are never called badgers. They look completely different, and there are no badgers in Australia.
The standard collective noun for badgers is a cete of badgers.
Badgers live in underground burrows, called 'setts'.
The badger is in the family - Mustelidae - 26 genera, 67 species
Badgers
The collective noun for badgers are:A colony of badgers.A cete of badgers.
A group of badgers is called a cete. Badgers are known for living in underground burrows in groups known as cetes, which serve as their communal living spaces.
The badgers habitat is they live underground in extensive tunnels called setts
The homes of all animals are called habitats.
A badgers home is called hairmoose remover. Sett
honey badgers
Badgers don't have a different name in Britain - they are called badgers there as well. I'm british and I've never heard anyone refer to badgers by another name.