Upgraded to 1.0.1. Same problem, still.
Setup:
1. Our 2 iPhones 5s (do share the same Apple ID for everything.
2. iMessage is configured for our phone numbers respectively.
3. We do use iTunes Match and have 200Gb iCould -- and these are the reasons why we don't use different Apple ID.
4. Two Apple Watches are paired with respective iPhones
Problems with Phones:
1. Siri gets messed up all the time calling me by my wife's name and refusing to understand husband/wife relationship between our contact records.
2. In Contacts -- it has "Me" in front of my wife's name. Why? Nowhere in her record does she have my e-mail or phone number, and phone certainly knows it phone number.
Problems with Watches:
1. I can send Digital Touch to my wife -- no problem, but when she sends it -- it comes back to her Watch in a second.
2. Worse: her phone calls now ring both phones sometimes, even if it is me who is calling.
I am seriously considering just getting her another account and paying double for all iCloud services. But when does this end? - my kids are almost of age when they would want their own phones and I have three kids!!!