Spikes is a synonym of cleats.

In plural only terms the difference between cleats and spikes

is that cleats is a pair of athletic shoes equipped with cleats while spikes is a pair of athletic shoes equipped with spikes on the sole and heel for better traction.

As nouns the difference between cleats and spikes

is that cleats is plural of lang=en while spikes is plural of lang=en.

As verbs the difference between cleats and spikes

is that cleats is third-person singular of cleat while spikes is third-person singular of spike.