Not sure your right there!!! The 350 wont be around much longer as its the old engine and the VQ37VHR is now the engine used in the G37 so think you may find its the Skyline 370GT...
Nissan want to get away from the Skyline brand as its been, as you say, surpassed by the GT-R
Also I belive the name is getting dropped as it will sit as the Infinity G37 as they want to try and get things more standard hence the Infinity brand being sold in the UK to rival the Toyota / Lexus, it will also save them money on marketing etc!