No I don't think most women on birth control are even aware they're having abortions. How could they be? Certainly the pharmaceutical companies who make the abortifacients and the doctors who prescribe them haven't told them. But like it or not, realize it or not, if you're on the pill you've probably had an abortion or two.
There is no evidence that there are abortions caused by or induced by hormonal combination oral contraceptions, used correctly (as opposed to the "emergency contraception" protocols). There is evidence that progesterone-only contraceptives do not sufficiently block ovulation, and results in far too many ectopic pregnancies (in a sense, you could say these are induced abortions). There is evidence that incorrect usage of oral contraceptives or the use of antibiotics or a bout of diarrhea while on any of the oral contraceptives can result in ovulation. And there is evidence that babies can and will implant without harm to them if mom becomes pregnant while taking oral contraceptives. (Annectdotally, I've never seen a lost pregnancy, positive pregnancy test after a period, or an ectopic pregnancy in my patients on any of the hormonal contraceptives. I've seen lots of healthy pregnancies.)
I have been looking for more than what ifs on this issue and have not found them. I would welcome sources that could clear this up.
Hyperbole does not serve your cause. The UNFPA is known to promote abortion as a primary method of population control. This is only one reason we need out of the UN. But don't distort the facts.
The Press is selling this bill as a raise for the military and "the budget bill" for the year.