Dusty, half this family isn't Jewish, but they bought in....to celebrating Jewish family and events, as well as the Shiva mourning. Call it Shiva or not, to me it's a good thing.
There is a lot of formality to a Shiva, many times it is not followed 100%. Personally, I find it the beginning of healing. Family and friends come to pay respect, connect, tell stories, and eat. The formal period is 7 days/nights.
When Karen passed, I was tearfully surprised by one of my two best friends flying in from California and spending all the days/nights of Shiva visiting (3 days for us). It's that type of love and connection that helps the healing. It's just a good thing, no matter what it's called, what religion it follows, etc.