I certainly feel "distanced" from he institution.  It is composed of men who don't care about how I think or how I come to my beliefs, as long as I accept whatever they tell me.  
I understand the need for structure.  In fact, I think that a clear structure is necessary for any organization to function well.  But a structure needs to be reevaluated periodically to remain optimal.  I think that the Catholic church is clinging to a monarchical style of governinbg that is not necessarily optimal.  But that's another conversation
When I write comments here, I use the term "institution" and institutional Church" to distinguish the hierarchy and the hierarchical structure from the Church as People of God.