I actually was not born into an Evangelical family. My parents were moderate Lutherans when I was born (I think it was Missouri Synod, but I don't remember, it might have been ELCA).
While not frothing-at-the-mouth fundamentalist, I've never heard the LCMS described as moderate except perhaps in comparison to the Wisconsin Synod. Note also that despite the name, the ELCA isn't what most people today mean when they use the term "Evangelical". Granted, they aren't a fully liberal denomination like the UCC, but at the time your parents would have been members they had some conservative congregations that have since split off.
(Sorry for the necropost, but the post I'm quoting from just got added to the High Quality Posts thread.)