Is Bart Stupak wrong?

I confess that I'm one of those Americans who really wants to understand health care reform, but every time I see a sustained adult discussion of it on a show like Charlie Rose, my eyes begin to glaze over and I switch over to watch people say dumb things on Jay Leno so that I can feel smart again.  Not surprisingly, then, I don't know whether the Senate health care bill ends up funding abortions or not.  Timothy Noah says it doesn't:

What really rankles Stupak (and the bishops) isn't that the Senate bill commits taxpayer dollars to funding abortion. Rather, it's that the Senate bill commits taxpayer dollars to people who buy private insurance policies that happen to cover abortion at nominal cost to the purchaser (even the poorest of the poor can spare $1 a month) and no cost at all to the insurer. Stupak and the bishops don't have a beef with government spending. They have a beef with market economics.

Is he right?