Unify the roles and caps?

I installed several plugins(buddypress-docs,achievement,bbpress), each one create capabilities for their own post_type.
I would prefer to make all roles and capabilities unified into one system, Is there a solution to overwrite all existing caps and control all post_types? Eventually I would like to organize users by group, and assign each user group different caps across all types.

Try the Members Plugin. This will allow you to create a new roles (which you can then assign to the groups) with their own cap or mixture thereof.