Do you have a link for that... from him?
From whom? Obama? Benedikt? I doubt any of them runs his personal blog.
Let me put it differently: Basically, in a mandated health care system the type and quality of health care is regulated by and accounted to the government. The Church can consider it like any other kind of tax it has to pay for its employees.
The Church's main focus in such things is asking if they interfere with its primary mission: the pronouncement and propagation of the faith. If it does (like, say, the involvement of its social services in some countries in mandatory abortion counseling) then it gets pretty hash pretty fast.
But paying a fraction of its employee's salaries into this or that state mandated institution doesn't rise to that level. In the end it's not so much different from any other tax. Render unto Caesar - you know the drill.