It looks like a complete crap circuit to me especially with a pot at the output of LM386. I won't recommend a dual output as one for headphone and other for non-amplified stereo speakers!
Instead, use either a TDA7050 or 2822M(ST Micro) specially made for headphone stereo operation, no worries.
Also you can make a separate TDA2822M for your stereo speakers. I've a desktop computer speaker that uses this IC, low power but doing a well job as a basic stereo power amplifier.