That's S197forum member Cmash's S197 Mustang with 18x11s and 315/35/18 Kumho V710s. As you can see they are barely tucked under the stock fenders at rest, and that is a wider tire than the 305 Conti.
Also, having run and weighed those exact size and model tires, there's not a lot of extra strength in that Continental GT-O tire's carcass. These are nowhere near as over-built as a DOT-style steel belted radial. In one track weekend we wore through the tread rubber and through much of the carcass, belts, and almost popped the outside front tire. It was a very close call because these wore at an alarmingly rapid rate. For the modest grip levels offered by these 305mm GT-Os, just know that they still can wear very quickly on cars as heavy as our Mustangs.
I hope this doesn't come off the wrong way - just trying to help prevent the pain of a blown tire or mangled fender. I've done both in the past, when I tried to get a little
too aggressive with wide wheel/tire fitments on my own car. I am always trying to push the limits of what is possible with tire and wheel fitments, but it doesn't always work. The picture above was after several iterations of wheels, tires, spacers, and fender rolling.
For every aggressive wheel/tire fitment we have pioneered there's usually half a dozen wheel/tires/spacer set-ups we tried that
didn't fit, and it has even turned into smashed fenders and bruised paint before (see above). That debacle was when I tried to fit a 275mm tire (that measured closer to 285mm of tread) on an 18x10" wheel on an E36 BMW, that came with a 7.5" wheel stock on the front. It took just the right cornering force, enough camber on the course and just a tick of steering input to cause the tire to hook the inside lip of the fender and turn it inside out.... then SMASHED it to all hell on the next bump. I destroyed both front fenders and cut the crap out of the tires. Luckily it was at autocross speeds and not Leguna Seca speeds.
Just ... be mindful and careful. And good luck!