Yay beanma! Welcome back! Glad to hear it went so well! Really, she's right. Lots of times we build things up much more than they turn out to be.
That's not to say that some extractions can't be difficult, because they sure can be, but it doesn't sound like your dentist thinks they will be a big deal, Shannon.
For your real question, there are a few threads in the dental archives that will answer what's safe during breastfeeding, and another one about natural ways to "sedate" yourself for the procedure. You may find that you are looking for something in between "just numbing" and "knocked out cold", and there are several options for you there, oils, herbs, even nitrous oxide helps a ton. Just go to the top of the dental topics page, and click on archives.
Good luck to you, and please post back if the archives doesn't quite do it!
And congratulations on your braces!! Hurray!