Pictures of the rims?
Original and repro Mopar 15x7 rallye, 70-71 15x7 solid painted steel steel rims, 15x7 cop rims with and without holes all have 4.25" backspacing. They will not hit the upper control arm. They cannot his the actual ball joint, that too high up.
I have 15x8 repro rallyes and they are 4.5" backspacing and they do not hit the upper control arm. I have a complete 73-76 A-body V-8 front end on my 68.
I think you might have a 15x6.5 C-body o 15x7 Jeep or something rim.
Here's my 15x8 rallyes with 4.5" backspacing that is .25 more than 15x7 ralley backspacing. I looks closer in this picture than it is. It got regular snap on wheel weights no rubbing.