Now that is a lot more interesting. Which Genesis are we hoping Hyundai would choose, and for what style of course?
The Hyundai is heavy, and isn't powerful. The lightest ones are around 3200 pounds (sorry, I'm a stupid American). The Minis are closer to 2500 pounds (ignoring the convertibles). The Minis are much, much better at transitions. The 2.0L Genesis isn't powerful, and the 3.8L versions are generally heavier than the relatively stripped, 2.0L only R-spec. IMO, this competition would be highly course dependent. On the course used with the Porsche, the Genesis would have a difficult time keeping up with the Mini. I won't pick a sure winner, like I would with the 911, but if you made me bet on it, my money would be on the Mini. On the other hand, if they ran the full course at Road Atlanta, I'd bet on the Genesis.
Now, if you throw Mini's money argument back in... Which is cheaper to buy (new, since the Genesis Coupe is new and there aren't many used yet)? Which is cheaper to maintain? Which has more accessible dealerships for warranty repairs?
The Mini's a bit more fun on the street, and looking at a Mini, just sitting there, makes me smile in a way looking at a Genesis doesn't.