In this context, a "real man" is probably someone who conforms to the traditional role of a male (physically strong, emotionally restrained, a provider and protector of women, children, and weaker men, etc.).
Of course, "real men" can be just the opposite, depending on who you ask. So, it's really a subjective issue.
I don't think every man should be like that, but I also don't think any of those qualities are bad. In fact, I think they're pretty admirable.
Do you have issues with the fact that some men conform to that type?