nothing is normal. All our perceptions of normal and abnormal are dependent on how we grew up, what genes we inherited, what proteins we expressed, what neural connections our brain built depending on the household environment and society we grew in. Nothing is normal. But usually people, because they dont want to remain outcasts, define normal as what most ppl do, and try to fit in. Some dont, like myself. But even I find myself following the herd mentality and trying to "fit in" at many occassions, at least when in professional settings.
Making connections, smiling, talking to others etc is usually considered normal and "healthy." Doing opposite of that is considered "abnormal" and anti-social. But it just the perception of others, dependent on what genes they go, how their brain works.
But then Islam also "abnormalizes" certain things such as sins. I guess humans would commit collective massive suicides, kamikaze style, just out of depression from existential angst for existing purposelessly if there was no sense of normality, or no sense of purpose. So God has through whatever means (evolution/creation etc) created our brains such that we look at patterns, create "artificial" purposes for ourselves such as looking good, having kids, making lots of money, earning respect etc that most of us get lost in these things so much that we forget the seeming "puposelessness" of existence, which from Islamic perspective is to just worship God.
There is a reason why some of the most "intellectual" people have been abnormal, misanthropes, nihilists and every other thing that you can think of. They did not believe in God, they were able to shun artificial purpose of life that our brain makes for us such as getting married or what not, but the gap created was so huge in their lives that these ppl created a purpose for themselves, which was to become their own gods. And that is manifested in various forms, as I mentioned above, misanthropy, misogyny, misandry, nihilis, amoralism etc.