Sometimes we just connect with people on a different level. If this is the first time that's happened to you, it's very difficult to put it in perspective when you lose it. But, it will come and go in life. You'll find more friends where there is mutual understanding and a feeling of growth when you're around each other.

I'm sure you'd terribly miss your family if you were ripped away from them, but that's not happening so you're focused on this real, present loss. It's hard to let go of a connection like that.

It doesn't sound like obsession. It is a kind of love, but you can love someone and be friends with them. It's not a relationship, it's not marriage or romantic love. I've lost same sex and opposite sex friends where I've felt like this over the years. It's always difficult.
Best of luck to you.