How do I get an OG Group Menu block to appear in View?
Resolved my issue, more or less, here: https://www.drupal.org/node/2195889#comment-8493709


First, setting all group views to use this url format: group/%/(title)
Always set group context in hook_views_pre_view() when arg(0) == 'group' and arg(1) is numeric.
3 .Use hook_block_info() to create my own block.
Use hook_block_view() to make my block content equal that generated by og_menu_block_view().
Go into block settings, and set the block to only appear on views = group/%/(title).
Set the block to appear at the same weight (just above or below) as the OG Menu block.


And, voila!  When I click on view from  OG Menu, the OG group menu itself persists.