First of all, congratulations on your decision!
A Big Plan is a pledge/ promise made to yourself and since we can not lie to ourselves( if we tried
we know we were trying to 'lie' , yeah ? ) , you could try and explain about your decision and resolve, but for others the pledge is only 'theoretical', and it may take time for them to trust in our resolve , especially if in the past we have stated before that the drinking was overand then drank again anyway.
As far as the label or name calling, after you have discussed your BP , you could remind her you remember when she used to poop her pants ....