It takes time.  Give them a little room to be angry and to move through their loss.  They lost who they thought you were.  They need to move through that/start moving through that, before they can embrace the new you.

My family and I aren't even really talking at this point.  This has never happened in my family.  We don't have fights.  We don't "not speak".  This is a whole new ball game.

It could be worse, is my point.

Seconding all the advice to give them time. For the most part your family seems to have reacted postively. Take some time to express gratitude to the family members who are already making an effort to use the right name, because they're doing really well for only finding out within the last week! And maybe this will encourage the others to follow suit. Being too assertive at this time may backfire. Even after 8 years I still can't get my dad to use the right name/pronouns. I know it sucks to hear that it could be worse, but it really could... Praise your accepting family, and be patient with the ones who are not on board yet.