You don't listen...and you have been given excellent advice...
If it does not work it's on your end.
He has made it quite clear, or so I would have thought, that it is working perfectly fine. He wants to know of the equipment he has might provide him with a better option.
With regards to the adapters: the Video Card needs to be outputting an analog signal in order for the adapter to work. Looking into it in this case one of the ports does in fact carry a Analog signal. I cannot find any reference that shows which of the two connectors does so, but what I was able to find certainly indicates that only one of them does. I did however find numerous parts lists for the card packaging that state it comes with a VGA adapter.
This has been basically solved already. All i need to know now is does connecting both monitors on gtx580 limit vram to 1.5g.
If you connect both monitors to one card, you are only using that card, so yes. if in this case you had the 980 installed as well it would be doing nothing, unfortunately.
This has already been answered. I'm using it atm and have no problems besides I can't use nVidia control panel for settings. I'm playing CS:GO with my main and Chrome is open on second monitor.
Not really a problem, IMO. Only one monitor is being driven by a Nvidia card. The other is using your on-board Intel GPU, so each one has the options for the actual card behind it. What you mentioned about pulling too much power is untrue. (Monitors don't pull power through their display connectors- they pull it from a wall outlet).
I think you ought to explain further what happens when you try to use both. You mention repeatedly "first monitor", "second monitor" "primary" "secondary" etc. and how the main monitor goes into standby but I don't think you mention which inputs each one uses. It does work as is as you've shown but presumably your goal is to have both monitors driven by the 980.
-If you plug the DVI monitor (the Acer) into the top connector by itself, does that work?
-If you plug the VGA connector into the bottom connector and reboot, does that work? If not, what happens?
-Can you swap the connectors? If so, does that work?