You certainly do my friend. The ke70 uses an odd size small diameter strut tube 45mm from memory, the AE86 used the more regular size to suit a 51mm shock (2inch) of which you have all the good performance aftermarket options.
This also means you can carry over the vented JDM spec AE86 brake rotor and calipers to suit. (our AusDM AE86 only got solid discs (and calipers because they differ between vented and non vented rotor arrangement) to suit as did all KE70's).
Further more you will also need AE86 steering arms because the ke70s that suit the 45mm strut have a different bolt spacing to AE86. this means you can carry over some AE86 power steering arms that are ?20mm shorter than standard so when used with a KE70/AE86 manual steering rack will give you quicker steering ratio and also more steering lock.