I don’t think this is advisable, viable, or wise. It will probably kill Bitcoin. And of all the bad things that could happen to Bitcoin, this scenario is up there with the top 10.
When it comes to currency, there can be only one. Multiple fiat currencies arise from the existence of competing nation states and regulatory pressures that interfere with the market’s desire for an efficient medium of exchange.
This will confuse users and undermine consumer confidence in Bitcoin.