Agreed. Sell the Hotchkis unit and get one designed for your Street Lynx set up.
Bill also can recommend the necessary spring swaps to maintain the correct roll couple with your set up instead of installing a tail happy rear bias with the added sway bar and no spring change. These rates all interact together to produce balance, or lack there-of.
If you really want to move the coil overs, you could do that. You simply will be adding weight with the extra mounting point and bracketry since there is also the need for the link brackets to remain in place. There is the possibility of interfering with the gas tank and then the relocation of that could impact the polar moment of inertia.