To run a led light properly you need to convert the lighting circuit to dc voltage. Your 350x puts out 12 volt regulated ac power. You will need a rectifier to convert the ac into dc. This unit here: http://www.rickystator.com/product/o...tifier-w-relay I have used twice with good results, it also acts as the voltage regulator so you will not need the factory one installed on your 350x. You will need either a large capacitor or small battery pack to act as a "surge tank" so to speak and smooth out the voltage as LED's run best on smooth, clean 12 vdc power.
As to wiring it in, there are two ways to go. Either float the ground inside the stator or ground everything using the converted dc power back to the battery or capacitor without using the frame as the ground. Floating the ground inside the stator involves removing the stator cover and disconnecting the frame ground. A wire in the color of your choice will need to be soldiered to the wire previously frame grounded, then run outside the stator cover and used as the other input for the rectifier/regulator. This method allows you to use the frame as a ground for the LED lights.
The other method involves simply using the green wire coming out of the stator without floating the ground as the other input for the rec/reg. The lights will then need to be grounded back to the battery/capacitor without using the frame. If you use the existing light wiring harness, you will need to remove the frame connecting points. Either way works but I recommend floating the ground.
On my 350x I was lazy and didn't float the ground. It works fine though. Here's a picture of how I wired it up.

Not the prettiest but you get the idea. I had a spare 350x headlight shell that was rough so I didn't mind cutting out the middle bar to fit the light inside of it.
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