I'd say that accepting yourself as stutterer has nothing to do with how other people treat you. You shouldn't accept that behavior from your family and friends because it's just completely wrong and very disrespectful towards you. Being okay with your stutter means that you are comfortable with the person you are, and that you acknowledge the fact that now and then you will come across people who are not understanding, but it won't bring you down or affect your self esteem. We can't please everybody and we definitely can't make them understand us. What your family and friends do is very toxic towards yourself and you need to change that. If it was someone new you just met or stranger I'd understand, perhaps they never came across someone who stutter or are just an assholes, this is when you need to have understanding towards them and not let it affect you, but when it's people who are closest to you, that needs to stop. In my opinion, you need to have serious conversation with them as soon as possible. It's hugely affecting your life and it can't go unnoticed. To summarize, you shouldn't let occasional negative comments bring you down, but you can't either let people walk over you with their behavior as they please. Accept yourself and confront your stutter, but also take a stand when you have to.