Drinking milk with raw eggs can be healthy for you as long as the eggs you're drinking with the milk when raw are pasteurized.
If the eggs are not pasteurized and you drink them raw with the milk or drink them raw alone then they could cause salmonella poisoning or other bacteria issues with your health.
That could make you sick and potentially kill you so in that case the eggs when drank raw that are not pasteurized could be harmful to your health.
But if you use eggs that are pasteurized they will not contain that bacteria or salmonella and won't make you sick.
Egg Nog contains raw eggs and I drink that egg nog every Christmas and never had any health issues.