Like almost anywhere else in the church, the house/simple/organic church is not a monolithic movement although it is sometimes stereotyped that way. There are Arminians and Calvinists, home schoolers and public schoolers, complementarians and egalitarians.
For example, Frank Viola posted today on the topic of women in ministry, Rethinking Women in Ministry. Ironically it seems he views "ministry" in the same way that the traditional church does, namely as the person "leading" from "up front". His essay is being widely read and cited today. I found it pretty lacking in persuasion if not in volume but then again I already have a pretty firm position on this issue. While Frank's position is the majority report among simple/house church types (notably also Jon Zens, another prominent leader in the house church setting that holds to egalitarianism), it is by no means the only view.
A Facebook friend, who seemingly disagrees with me and agrees in part with Frank, sent me a great link to something written by Steve Atkerson writing for the New Testament Reformation Fellowship, has a very different and far more traditional understanding of gender relations and functions in the church. His essays, Correctly Interpreting 1 Corinthians 14:33b-35 (Part 1) and (Part 2) come to a very different conclusion than Viola. No surprise I find Steve's essay far more compelling and a lot better interaction with the text rather than appealing to external sources to override the text in favor of a culturally palatable interpretation. I especially appreciate that Steve makes the obvious point, one that is missed by many who quote 1 Cor 11: 2-16 as a defense of women teaching/speaking in the gathered church, namely that those passages in no way refer specifically or even infer that they are directed at church gatherings.
Anyway, these are great essays on both sides and they demonstrate that far from being a simplistic, lowest common denominator movement, many proponents and practitioners are in fact serious Biblical exegetes who take the Word of God and its study quite seriously. If you have a fair amount of time, give both of them a read and let me know what you think!