I don't think CQG offers VIX data - or at least I am not aware of that.
IQFeed has VIX as far as I know. You can connect IQFeed as a secondary data provider and use the VIX with the instrument graph study in sync with any of your existing symbols - or independent on a standalone chart.
I do that with the TICK indicator from dxfeed - therefore I haven't used IQFeed data myself. But I have considered them and it should work identical to dxfeed.