It's possible to mix the two, but I don't know if it's possible to mix them well. I don't see Christian dogma, any sort of Christian dogma, as being compatible with Buddhism. I think you'd be likely to end up as a Buddhist who appreciates Jesus, or as a Christian who meditates. If you're determined to try, though, you might want to give Thich Nhat Hahn's Living Buddha, Living Christ a read. From the Christian side, Thomas Merton believed that Christian mysticism was compatible with Buddhism.
I've been combining aspects of Quakerism and Buddhism myself, but not Christian Quakerism. From identifying as a Quaker (though not actually being a Quaker officially), I've come to identify as both, and it remains to be seen whether I'll reach some kind of equilibrium between the two, or continue to feel more and more "Buddhist" and less and less "Quaker."
In any case, I don't think it's important to find a pigeon hole and get in it. You should feel free to study all religions and learn from all of them, but you should also be aware that if you fail to take each tradition seriously on its own terms, what you come away with is likely to be something superficial and inauthentic to that tradition.