Don't run the make install. That makes presumptions which are wrong. Do something like the following
cp arch/x86/boot/bzImage /boot/vmlinuz-2.6.32-220.el6
cp System.map /boot/Ststem.map-2.6.32-220.el6
cp .config /boot/config-2.6.32-220.el6
then edit startup files manually. If you set the extra version in .config, run 'ls /lib/modules', check the version the modules are installed as, and use that.