The KT controller & KT lcd are no issue, your existing wiring may or may not have the same connectors and wire sequence. So you may have to change some wires for the correct sequence or simply buy a few KT wired bits to simply be plug and play.
If the wisper connectors don't match simply solder the wires together and heatshink over the joints to insulate against shorting.
If unsure of which wire sequence will need to go to which with the KT controller just show us a pic and we will marry up the correct sequence for you.
Generally though Red is 5v though Brown can be used, if non are present then Blue.
Black is Gnd except when not used Yellow is the main substitute colour, Green will be used if non are present but this is rare.
Sig is any other colour outside of these , Sig though can be Yellow, Blue, Green if not used in the above scenarios.
Although it sounds confusing with experience one can quite easily sort out the sequences given the opposing wires to be matched.
I can only think of one instance when in the very past things got a bit silly , some guy had a controller and all the outputs were the same three colours. Easily sorted with a meter to suss out the polarity contacts between Gnd & 5v.