If you have MS, foot drag is common- I should say- foot drop is common. I had foot drop from 1977 until summer 2008 when it became foot drag.
You mentioned that your foot drag increases in meetings when you are nervous. The same nervous system operates both your nerves and your foot. Under stress, especially with MS, you may experience what you describe. You might want to delve into what the reason is for being nervous. If those around you know you have MS, live with it.
When we try to mask our disability, we are often only fooling ourselves. People know I have MS, and they do not ask me about my foot dragging because it has nothing to do with me as a person. My leg does not work, but my mind/personality has not changed.
Are you being too hard on yourself? Have you always been nervous in crowds? Stress and anxiety can worsen MS flare-ups or even help set off a flare-up. You might see if you can find a way to get over the nervousness through a support group or even a class on public speaking or a local drama/theater group.
Being a country hick, stage fright besought me. I took speech and drama as electives in high school and it helped. As I got older, I learned that people will judge you for many things and there is nothing you can do about it. The only thing you can rely on is objective reasoning and discussions. If you are true to yourself and others without hiding anything, I have found that people will respect you more and listen more intently to what you have to say.