One can certainly boost alk and calcium in new salt water, within reason, but calcium hydroxide is not the best way to do it.
Even the normal high alk and calcium mixes (like Red Sea Coral Pro) are not very stable and will precipitation calcium carbonate if stirred too long).
But if you want to boost alk and calcium, you do not also want to boost pH, as that will hyper-accelerate precipitation. Baking soda and calcium chloride would be the optimal way to boost calcium and alk while minimizing precipitation in new salt water (or aquarium water, for that matter).