Did Jesus start to discriminate?

I've always found this story a bit odd.  It almost seems to me that Jesus was going to refuse to help her because "she was one of those people".  She even seems to "recognize her place" in her response to Jesus.  Her faith wins Him over and he eventually helps her even though she is "one of those people". 

I must admit that I find Jesus acknowledging the distinction and difference really weird.  Him calling this woman a "dog" just doesn't fit the vision I have of Jesus. 

Mark 7:27-29(NKJV)

But Jesus said to her, “Let the children be filled first, for it is not good to take the children’s bread and throw it to the little dogs.”

And she answered and said to Him, “Yes, Lord, yet even the little dogs under the table eat from the children’s crumbs.”

Then He said to her, “For this saying go your way; the demon has gone out of your daughter.”