Organic Groups "create post" content link needed with posting content type specific to group
I solved this problem. I am not sure if this is the best way. If a better way exists, please do inform me.

To solve this problem I create 2 "Content Create Links" panels within the page.  Each added panel references the group audience specific for the Group Posting content type for the group.
At first both will probably show up, but you have to go to the global "OG Permissions Overview" and for each group type make sure that create content for that Groups posting content type is checked.  For all other type on the page you should not have "Create ____ Content" checked otherwise that content type (a posting type) will also show up as a "Content Create Links" for the wrong posting type for that group.

Do that for each Group type you have created, allowing "Create__(groups post content type) Content" and not having the "Create__(other groups post content type)__ content" for all other group posting content types for the other groups.

Now when I open up "Amigos" groups, I only get "Amigo Group Post" as the posting content type, and NOT "Authenticated Group Post" as well.

If this is too "hacky" I welcome other suggestions on how to configure this properly.