Well for starters, I highly doubt you're pushing 1500w per speaker... your amp would be the size of a washing machine. Sounds like you've bought your gear based on PMPO ratings rather than RMS. I'm guessing your amp just isn't powerful enough; if your mixer's master output isn't clipping, then the input on your amp won't be either. It depends on whether or not the amp's clipping detection is based on its output stage or its input one; if it's the former, then having a different load (8 ohms vs 4 ohms, for example) can introduce clipping at less than full volume.
But regardless of all of that, if your gear isn't going loud enough without distortion, it's time to upgrade
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