Up against the leaf spring, it ain't close until about 1/8th inch, with the tires aired down to 24psi. That part of the tire only varies with tire pressure. I don't think Coopers can corner hard enough to move that far over at a normal 29 psi. They will slide first.
But beware, not all leafs are installed parallel. So you better check both the rear and front distances to the sidewalls. It looks like you have plenty in that pic.
205/65-15s are about 25.5 tall. That is only .4 inch taller than my 235/60-14 fronts.
IIRC the factory tires were 24.7 tall.