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I find it difficult to work with terms like "conservative, liberal, moderate." Compared to WHAT? About WHAT?
EVERY denomination has a range of thought and often practice. We seem to be at a point in Christian history where there is an alignment along the liberal/conservative line of that denomination (particularly "hot button" issues of that denomination) rather than the ethnic/geographical alignment that once dominated. We see that powerfully in the Episcopal Church in the USA right now (as well as other Anglican provinces). It's happening, informally, in American Lutheranism, too. Whereas the LCMS and WELS were once known as GERMAN - they are now the "conservative" branches, and whereas the many Lutheran denominations that over the years came to be ELCA were often Scandinavian - they are now the "liberal" branch. But it's all pretty relative (even ELCA is pretty conservative compared to Protestantism as a whole). The same thing is happening in the Reformed movement...
Some would argue that among American Lutheranism, ELCA is the liberal, LCMS is the moderates and WELS is the conservative. In a GENERAL sense, and only as related to each other, there's some truth in that, more so in issues related to practice, social issues, morality and fellowship than in theology.
There is a RANGE in ALL denominations, including LCMS and ELCA. And they frequently overlap. ABout the only CLEAR issue between them is women's ordination: nearly universally accepted in ELCA and nearly universally not in LCMS, otherwise. Thus, you'll find "moderate" congregations in both camps. But again, it depends on the issue. Some LCMS churches have social views and fellowship practices that would be very much at home in ELCA but likely are still pretty conservative in theology and in it's view of Scripture. You'll find ELCA churches that worship and practice in ways that would be very much at home in LCMS but may be more "liberal" in theology. In other words, the SAME congregation may be liberal AND conservative - depending on what you are talking about.
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