Considering that the car outputs are 4 volts, I don't think so. Opamps are more than capable of handling increased gain and outputting voltage far beyond 4 volts. The 1 volt levels there now are pathetic. My other home gear reaches around 4 volts as measured by my multimeter. Obviously without knowing the actual circuit used, I can't be sure, but clipping is not likely an issue.
The DSP outputs .72 volts. Assuming the .72 and 1 volt values are P-P, the present gain in the circuit would be ~ 1.39. Which is almost unity gain. A more reasonable gain would be 5.56, yielding 4 volts through the RCA jacks. In fact, some opamps are not stable until reaching gains of 5 or more (ex. OPA637).
Stu
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If you want it to break, buy Sony!