The purpose of this study is to evaluate the safety and effectiveness of an immunosuppressive medication, Belatacept, as a replacement for a calcineurin inhibitor, in combination with a standard of care regimen of immunosuppressive medications and plasma exchange (plasmapheresis and immunoglobulin treatment) for kidney transplant patients who are moderately sensitized against their deceased donor and at-risk for delayed graft function. The hypothesis is that moderately sensitized patients who receive Belatacept treatment with the standard of care regimen will lead to lower acute rejection rates than historical controls based on assessment of standard of care biopsies and standard Banff criteria.