Do you mean “protection training” or “protection sports”? There is a big difference between the two. Regardless, IF you have a balanced dog with clear mind, the dog should be fine in the house and good with kids. I have an IPO titled male, who is very high drive and very dominant, but who also lives in a house with a free run 1lb ferret and adores her, and is very social with visitors, after proper introduction. It’s up to you to recognize how stable your pup is and to socialize properly.
As far as “show dog” goes, you really will need to test the drive of your dog. Some Corsos now, unfortunately, have very mellow temperaments (not characteristic to the breed) and will not make good protection dogs or sporting dog. Find a good trainer and evaluate your dog. How active is your pup? Does it like chasing things and playing tug? How confident is it? To tell you the truth, I can maybe think of 2 dogs in north America that are titled in both protection sports and confirmation ring, and I am not referring to the Obedience test, but to more advanced levels. Most people who seriously train in protection sport view confirmation ring as a waste of a perfectly good training weekend (lol), this is why so few IPO / Ring Corsos are confirmation champions.