Part one of a two step process, my friend. I'm doing nothing entirely different from you, but just in a different order. I didn't stop after doing Heisig's book and say "Okay that's it, done learning!" Now, instead of doing 2000 kanji of "let's learn how to write and read at the same time!" I did 2000 "let's learn how to write" and now I'm doing "let's learn how to read!"
Back in kindergarten when you were taught the alphabet, and were drilling them, did you get taught every single possible sound that a letter could have? No, because you learned that through context. But you still went over and learned how to recognize every single letter.
I know this method derivates from what the Japanese children do, but we're not Japanese children!
And if handwriting were so "unimportant" why are the kids I'm teaching spending all this time learning how to write characters?
I'm not saying that the old fashioned method doesn't work, it obviously does. If you have the time that Japanese school children do, more power to you. I'm just putting this out there as a great method that works, skeptics be damned.