No, diodes will cause terrible distortion (I used to put a diode in my guitar amplifier output as a cheap fuzzbox). Do these outputs drive a speaker directly? If not, you can use a resistive combiner between the outputs and the amplifier, say a 100 Ohm resistor in series with each output, then connected together at the amplifier input. Even if the radio outputs each drive their own speaker (?) you can try using 10 Ohm resistors for the combiner, and there should be no ill effects. Make sure the resistors can handle the power though.
What kind of radio has separate USB and LSB outputs? Never heard of this, and don't understand why you would want to combine those outputs.