OK, so here is an update that will hopefully spark a reply from someone who has been through this. After checking all the settings, and not finding anything, I shut down both of the VMs to the system, and rebooted the ESXi. Once rebooted, I started both the VMs back up.
After doing so, they both were fast and working as they should. After about an hour or two, I began to notice the performance degregation again. I then repeated the steps of shutting down the OS on both the VMs, rebooting the ESXi, and turning the VMs back on, and once again, back to normal.
How could everything work after reboot, then get really slow? I checked the main CPU, and it was only using about 25%-50% at times, so it wasn't peaking.
Anyone have an idea of what I should do next other than dumping the whole machine?