That doesn't make sense. The value of anything can be volatile if you price it in units of a volatile currency. 1 BTC is still 1 BTC, just as 1 USD is still 1 USD. 1 USD isn't worth the same amount of Argentine pesos as it was yesterday, nor is 1 BTC.
If an apple was priced in BTC, you wouldn't care if it was worth a different amount of rupees or ounces of gold yesterday, just as you only care about the dollars and cents on the price tag now.
USD is sure as hell not stable. It's unstable by design - it is constantly declining in value as the money printers continue to churn. If you are hoping for a stable BTC-USD then you are hoping for a bizarre and unlikely situation where BTC declines in value at the exact same rate as the USD. I don't understand.