I find that Kung Lao's spin is only an issue for people that want to go full auto-pilot and then get checked by a spin when attempting to pressure him on wake up or in general.
Go into training mode and set Kung Lao to tech roll and wake up attack, he will be the best training partner you've ever played with next to a actual human being. Get confident punishing his spins.
Next, stop pressuring him all the time. There's nothing wrong with zoning in this game, use your pokes. Kung Lao's normals actually have a pretty short range compared to most of the cast, be aware of your distance between him. Believe it or not it is actually possible to be threatening without being right next to Kung Lao.
Create the illusion that you intend to be offensive. There's nothing wrong with dashing at Kung Lao and pressing the block button. Who knows maybe you will bait a spin and then all of your training mode experience will grant you the ability to punish him with a combo.
Stop jumping! Kung Lao wants you to jump, its how he gets free damage. Don't jump.
Crouch block! Kung Lao wants you to stand block, here is why you shouldn't. All of Kung Laos strings can be ended with a low hat, if the low hat hits he gets to dash forward and pressure some more. All of Kung Lao's overheads push you away, if he uses one you've just escaped his pressure. If you fuzzy guard his overheads, you get a free combo. By crouch blocking you limit his string enders to low hat cancels and when a low hat is blocked you can press d+1 to stop him from following anything up safely.
I'll probably get hate for this, but this is my advice. Try implementing these things into your game play and I think you will feel more comfortable with the match up.
And this wasn't directed at Reo, this is more directed at the players that are having a tough time with the Kung Lao match up.