Church of England won't allow female bishops

[Okay, maybe Mike Johnson is a competent parliamentarian.]

What exactly is the point of a church having BOTH Anglo-Catholics and evangelicals? Kind of reminds me of the church equivalent to the United Atlas Centrists...

A running and at times very fruitful dialectic between those groups is what Anglicanism has been doing with itself for most of the past few hundred years, at least until the 'liberal'/not 'liberal' split of the past three-odd decades started. It's a deliberate avoidance of uniformity in theology (instead using rough liturgical uniformity), stemming, I think, from the collective memory of the culture wars of the seventeenth century.

[True Federalist (진정한 연방 주의자)]

Also, the Queen nor members of her family are not sitting in the House of Lords. Why should Bishops then?

Actually, prior to the Lords reform in 1999, members of the royal family were in the House of Lords if they had a title in the peerage, and five of them were offered life peerages in 1999 to allow them to continue sitting (The Dukes of Edinburgh, Cornwall, York, and Kent, and the Earl of Wessex), but they all declined.

[Filuwaúrdjan]

It hemorrhages individual members sometimes like any other church (a lot to secularism and/or the Roman Catholics most recently)

Of course what it's lost the most members to (really) could be best described as 'meh'.