John,
I understand what you are saying. It is hard when ministry shares is impersonal and often hard to put specifics on it. Yet, I think that we too often find the blame in the system or shovel it off to those on the "top". Really, the problem is all of us. We don't care as much as we used to about our communal offering. We look at it more as an economic transaction and so we expect to get a bang for our buck. Unfortunately, we don't always see that but this is not an excuse for the poor giving of so many churches, mine included. I get angry when we withhold our money because we don't trust each other or we have a problem with one person or one part of the denomination so we use money as a weapon. What if we stopped blaming others and looked at our own desire or lack of desire to give? What if we gave with the expectation that we won't know the wonderful and amazing ways in which God will use it? What if we gave so joyfully that we gave to the point of hurting? What if we stopped being so "me-centered" and too focused on our own impact and started realizing how God has stretched our little denomination around the world and allowed each one of us to be a part of that by our ministry shares? These, in my humble opinion, are the more important questions.

While ministry shares provide efficiency, and security, and seem to lead to being able to talk about the 'numbers" statistics(countries, languages, missionaries), the greatest lack often seems to be the personal connection.
We have a small church. About 90- 100 attend every week, including small children, and children are about half the church. Yet we had a collection two weeks ago where we contributed an amount equivalent to about half the ministry shares, in one single collection, to a non-ministry share foreign mission project in Kenya, mostly because we knew the people who were going there, and had seen videos and slides of the work that was progressing there. Ministry shares may be good, but they often seem to end up in never-never land, being absorbed into the large soup pot of the church collective, and we are never quite sure what difference our particular contribution makes, or who uses it or spends it, or who is affected by it.
It is not psychologically possible for people in most churches to observe or connect to 200 countries and 200 missionaries. Small churches can handle one or two, and large churches maybe four or five. And somehow they have to connect themselves. A connection handed down from above (perception) will not work so well, particularly if the connection is to a chaplain when they may be more tuned into foreign missions... or vice versa.
Ministry share might be important, but not for their own sake. They are important only for what they accomplish. If the method of raising funds needs to be adjusted for some things, in order to accomplish more, then perhaps we should not be too reluctant to try something different.