Interesting. So I looked it up, it appears that the 1977 Hyde Amendment (not to be confused with a completely unrelated 1997 Hyde Amendment) forbids the use of federal funds to the DHHS (mostly medicaid) for abortions except in cases of life endangerment, rape, or incest. This is a bipartisan rider that's been attached to annual appropriations bills every year. Related is Executive Order 13535 signed by Obama on March 24, 2010 which reinforces the commitment to preservation of the Hyde Amendment's policy restricting federal funds for abortion in regards to the ACA.
So fed funded Medicaid and ACA won't pay for abortion except in cases of the mothers life being in danger, rape or incest. States, however, are not held to the Hyde Amendment for their portions of Medicaid and ACA funding and can use their portion to pay for abortions if they wish. Currently 4 states will pay for voluntary abortions, 13 require a court order to use state funds to pay for it, and the rest seem to follow the same guidelines as Hyde for their state funds.
In addition law says that, Gov. employees, military personal and their families, peace corps volunteers, indian health services clients, and federal prisoner's must pay for abortions out of pocket.
There is also a bi-partisan "No Taxpayer Funding for Abortion Act" on the books from 2011, (which would basically make the Hyde Amendment rider permanent) the House passed it 251-175, but it wasn't expected to be brought up for a vote in the Senate because they wouldn't pass it? It was resent in Jan 2014, but I don't see any mention of what happened it after that.
Anyway, it looks to me like if you have an issue with "your" tax dollars being used to pay for voluntary abortions, you should talk to your state reps. (Sorry I lost the PDF link while I was researching stuff or I'd have posted it; it was from an anti-abortion group and had a full list of what states covered abortions and how under Medicaid. I recall that Hawaii was one of the ones that covered voluntary though not the other 3.)
I suppose if you think the mother should risk dying to have a child, or if you think the children of incest or rape should be born regardless of the mothers wishes, then that's a different ballgame.