(1) I would be upset that someone I thought was a friend had hidden something absolutely fundamental about themselves. This would be a deal breaker. A man who enters women's spaces would be a deal breaker.
(2) Men and women are different, and I am attracted to women and not men, so yes, of course, for two massive reasons I treat men and women differently.
(3) I would not wish to be friends with a predator or an autogynephile. I would not wish to be friends with someone who expected me to treat them as anything other than their birth sex.
The whole concept of their being a group which is called "trans" is pretty nonsensical in many ways. It is better to treat anyone who calls themselves trans as an individual based on the way they dress (not good if they have their d*ck showing whilst wearing a miniskirt!), what they demand, the spaces they use, what they claim to be, their other mental health co-morbidities.