1st/2nd Gen Barracuda Handling

I feel sorry for you. On a road I have and never had a problem going fast( 100 mph all day long and 140 mph for bursts), stopping (10 in drums), or going around corners with any A Body Barracuda from 1972. What suspension are you running?
If the bushings get rotted or the ball joints tie rod ends pitman arms steering boxes ect get worn these cars handle like crap and won't corner at all. But if all the suspension components are in 100 percent top notch condition these cars corner fairly well in stock form is my experience.