Yeah that isn't the issue at all. Power is not your issue. While you really are putting the psu at near capacity.. or close enough it will power your system.
Follow this link
http://www.anandtech.com/show/6396/the-vishera-review-amd-fx8350-fx8320-fx6300-and-fx4300-tested/6
Check the power consumption with a far less efficient 5870. Still 182 watts for the entire system with the gpu idling around 20 watts during the tests mentioned in the link, loading cpu leaving the gpu idle.
So 182 -20 for the 5870 leaves 162 for the 8320 at load but lets call it 200 watts for fun. the 960 has a max power consumption of 120 watts (according to nvidia)
So at load cpu and gpu consume 320 watts and another 40 for memory, drives and peripherals.... in theory, which is plenty of power and will not affect hdmi at all.
1st
try disconnecting hdmi at both ends, connect to the gpu then to the tv
2nd
Disconnect the hdmi connect a cable to the dvi to a monitor.
Download the newest nv drivers
Uninstall all the previous drivers currently installed
reboot
install new drivers
reboot
connect the hdmi to the gpu then tv
enable it in the nvidia control panel if it is not already active then make it your primary monitor.
Would I run that setup on the cx 430 , not unless I was in a pinch, will it affect you in any way except overclocking, no it certainly won't.