I'm a hybrid.
I love the process, too, but there are some things that are too tedious for me, so for those reasons, I will do as much strip-piecing and time-saving as possible. That said, you'll probably find it ironic that I *love* hand-sewing the binding at the end. And I also take the time to do Sharon Shambers' hand-basting of the sandwich. (The results are SO much better when I do this.)
I've started doing more hand-quilting. I also love this, too, but it's taking too long. I love the control and the look it provides, but it really slows down the completion of the quilt (and therefore getting started on another project!).
I've started teaching myself FMQ because the other thing I find tedious is standard machine quilting. Mostly because I've never been super satisfied with the results. (They've gotten better since doing Shambers' hand basting, though.)