Stuttering and Friendships

Does anyone have an issue with making friends with a stutter? Especially as an adult. I know people who stutter tend to be withdrawn, less confident and have more anxiety.

Im 28 and feel that I can't get social or maintain a conversation. This is apparent to me at work, family gatherings, social settings, etc. Like you have to try to force a conservation out only to be given a vacant stare or just a one word response.

Sometimes people aren't so accepting of others who stutter / speech impediment. Treat it as a disability to be ridiculed. If anyone has experienced this, how do you manage? If you're experiencing this, what keeps you going?