I have a stammer - often very severe. I don't have all the answers but I hope I can offer inspiration.
I'm now working at Twitter and I speak at conferences internationally. I've struggled through the issues you have and I used to assume I could never get a job of any kind.
In the end it's about attitude. Don't try not to stammer. Speak as much as you can. Be who you are, know what you're good at and let others know it. Always remember that a good employee will hire you for what you can do, not what you can't.
I'm now working at Twitter and I speak at conferences internationally. I've struggled through the issues you have and I used to assume I could never get a job of any kind.
In the end it's about attitude. Don't try not to stammer. Speak as much as you can. Be who you are, know what you're good at and let others know it. Always remember that a good employee will hire you for what you can do, not what you can't.