These handlebars will not work on your 2007 R6 as your bike uses Clip-on type handlebars that clamp to the fork tubes and are an individual handlebar for each side. . It would take heavy modification to your top triple clamp to install mounts that would accept these handlebars.
This will definitely change the feel of the 2012 Yamaha FZ6R. After installing, it's important to note that the handling will feel much different and may take some time to get used to the new feel. With the handlebars at such an angle, it will make your elbows raise while riding and give that "attack" position look and feel.