The 8 pin power plug shouldn't be an issue. The IP35e is designed to run with a 4 or 8 pin plug.
The fact that you are getting no video signal at all indicates that the system is not even getting to the initial POST startup sequence. This could be a power supply problem, a video card problem, an issue with the RAM or CPU, a failure in the motherboard, or a short circuit or improperly installed/seated component.
You went over some of these already so I'll just skip to the things that you haven't done yet.
When you turn the computer on, are there any beep error codes or does it just spin the fans for a few seconds then reset?
You mentioned that the computer still reboots itself if you only have one memory stick installed. Have you tried both sticks in each slot one at a time to see if either of the slots/sticks will behave?
Did you check to make sure that the CPU heat sink is firmly and evenly seated on the CPU? If it is not making good contact with the processor the CPU could be overheating very quickly and causing the system to shut down before permanent damage is done.
Have you tried booting the system with the motherboard outside of the case? Quite often with new builds, the motherboard can come in contact with the case itself if it is not attached properly to the standoff screws, causing an electrical short which prevents the system from booting properly.
If you can get your hands on a basic PCI video card for testing, that will help eliminate a problem with the GTX video card or the PCIe slot.