888s stick like the proverbial to a blanket in the dry when warm. They are probably one of the best road legal tyres for dry grip but are
very poor in the wet. I'd be surprised if they lasted more than about 2-3K on an omega too.
Even if it's going to be a track car only, I reckon an Omega might well be heavy enough to overheat those tyres after a few laps, meaning they won't be much use there either.
The above depends a little on compound, of which there are several. It might be that once you get to that size they make them harder and design for a heavier car? Not sure, but worth finding out.
They are fine on a light track day car, even for road use, when you can drive around the problems in the wet and can gather it up before hitting scenery when (not if) you find the limits in the wet. I wouldn't fancy them on an Omega with winter looming, though, especially if doing my 18k a year of daily driving regardless of weather. It would be very expensive and very frightening some days.

A good chunk of that money will be going on the tyres. I'd make sure you get something more suited to the Omega.
rims ok..
tyres
"While Proxes R888 radials meet DOT requirements, they are not appropriate for highway use. Proxes R888 radials are not recommended for driving in wet conditions when shaved or worn where standing water is present and there is the risk of hydroplaning; drivers should drive cautiously at reduced speeds if they encounter these conditions. And like all Track & Competition DOT tires, Proxes R888 radials are not intended to be driven in near-freezing temperatures, through snow or on ice. It’s also essential these tires be stored indoors at temperatures maintained above 15 degrees F."
http://www.tirerack.com/tires/tires.jsp?tireMake=Toyo&tireModel=Proxes+R888&affiliate=BF7