Hi Robb,
Welcome to TRT!
I would not worry about this type of behavior for the crab, it is defensive for the crab more than anything. This is not to say that it would not eat the shrimp given the opportunity, but chasing down the shrimp would not be normal (maybe if the shrimp had just molted and the crab was really hungry...

) These crabs are usually opportunistic feeders, cleaning up left over food and grooming the rock for microalgae and miscellaneous tidbits the crabs come across. Check the chelipeds for flat tips, one of the hallmrks of the species of crabs (
Mithraculus sculptus ) you want for your tank.
btw,
Mithraculus has been recently established as a new genus for the smaller members of the old genus
Mithrax, and even then, there is much variation in color and general
appearance within the specie.