Um, no. Patient care is the biggest culprit in US overspending on medicine. Administrative overhead is minor.
http://theincidentaleconomist.com/wordpress/what-makes-the-u...
http://theincidentaleconomist.com/wordpress/what-makes-the-u...
I didn't find a place in the article that talked about administrative costs (i.e. salaries, bonuses, profits) that go to insurers.
[edit] And hang on a second. You say if any? Really? You think there is no competition for resources?