It is not just car but the tire that make high speed driving safe or not. Most modern late model cars like our Genesis have suspension and brake setups that are superior to some of the earlier (1990-early 2000) performance cars you mentioned which surpassed the claimed top speeds posted in this thread on older technology just fine.
The stock tires on the Genesis are rated for over 130mph and most
aftermarket performance tires are rated for much higher speeds than our cars can obtain, so blow outs should not an issue with tires in working order without defects.
My Falken FK510 tires are rated for over 168 mph so the 130 mph I reach is not pushing them to the limit.
With that being said, I personally would only drive very high speeds on a straight road with no traffic near by. High speed cornering maneuvers should only be attempted on a track.