The USB hub I was using was only putting out 4.45V. The CMOS Z80 needs 4.5V (min). The PSoC isn't as picky about power. The core of the CPU is powered from a regulator inside the PSoC. 

I plugged the USB cable into my PC and now I am getting a clean 5.04 V.

The CPU clock looks cleaner, now.

I need a better hub.

Still not producing IORQ* signal.

But getting closer.