I don't think the vinyl will play nice with the pull part of the handle. You're adding material to both the base and the handle. I think it will wear and quickly become a friction point for both parts. Though you might be able to stretch it thin enough.
My other thought was to replace all the handles with new ones in black as I'm planning on the hood and roof being black.
Thankfully I have done it, and I really don't have any issues with it being "a tight fit" if you will. It doesn't feel like I even added material when I use the handle now.
But yes, just disassemble the handle, wrap, reassemble. The mirrors were much more difficult FYI