When I talk to Bitcoiners and Bcashers, the goal in both cases is a fair currency, we can talk about factions because they both pursue the same goal, in different ways, often in contrast with each other.
Bcash is neither currency nor fair. For example one of the requirements for a fair crytocurrency based on blockchain is to have an immutable blockchain. Bcash stopped being immutable the moment they decided to roll back their blocks with a 51% attack.
There is a lot of other reasons such as being centralized, having a centralized mining cartel, having no utilities, no demand, etc.
You can't use the term "faction" for bcash because it is an unrelated altcoin like LTC or ETH or ...