It simulates fine, but I am pretty sure it will not work as drawn in practice. For one thing, any actual opamp cannot swing instantaneously through the 1.4V crossover region without some form of distortion. I'm sure there are other things as well.
What alterations would need to be done to make this a functional circuit in practice?
EDIT: Goal is to drive a speaker with AC signals (20Hz-20kHz). Total power output of 1/4W. OpAmp in question is an NE5532. I don't have LM386s on hand and they are not unity-gain stable anyways. Yes there are monolithic solutions, but this is partly a design exercise and partly a challenge to make do with parts I have on hand.