To spend so much on a TV and get that weird Nuforce Icon receiver is a shame. Save at least 200 bucks and pick yourself up a low-end 5.1 receiver, at the LEAST. The Yamaha RX-V367BL isn't a bad one. Make sure it has 3 HDMI inputs (almost all do now anyways) As for the audio, keep it simple: connect your Blu ray player, cable/sat., and gaming devices to your receiver with HDMI cables to the inputs (you should have at least 3 inputs). Then, run 1 HDMI to the TV from the receiver HDMI "out" and you are done! Again, keep it simple. It would be a SHAME to use a headphone out for any audio, and by the sounds of it you are spending good money on a great TV, so hook it up correctly! Again, use HDMI for audio/video.
Clicking the mark as good answer button helps us highlight the best answers.
You should be able to connect the speakers to the amp, but I am concerned with trying to connect the amp to the TV. In my experience having that long of cable (device to TV to amp to speakers) usually results in a lag in audio that to me is unbearable. Your best case would be to purchase a real amplifier instead of the Icon2 and then you could run all of the audio to that and all of the video to the TV. This solution, while not exactly what you wanted, would allow you to control the entire setup with one remote and allow much greater expandability in the future. I hope this helps, I did some research on all of your components and I feel this would be the best course of action. Good Luck!