You asked about moderates. I gave my idea of what a moderate might believe, and I don't think there's any doubt that many people do believe in that way. The fact that you don't agree with them means you are not a moderate.
Forgive me if I don't get into any further discussion about the rights and wrongs of abortion itself. I've already gotten deeper than I intended on that. The OP was intended to talk about how the current situation might be handled.
The best option for the current situation:
- every person who opposes abortion should have the right to refuse one
for themselves.
- every person who supports abortion should have the right to have one.
- measures to prevent unwanted pregnancy - and by extension, abortions - should be widely available for voluntary use: birth control, proper sex ed, etc.
- alternatives to abortion should be made as attractive as possible: maternal and obstetric care should be free, medical science should work to reduce the risks of pregnancy as low as possible, long job-protected paid parental leave should be legally required of all employers, and affordable (or free) quality daycare should be available.
Points where I think reasonable discussion and compromise might be had:
- should abortion care be provided for free? (I would say yes)
- should hospitals be able to refuse to provide abortion services? (I would say no - this should be part of the basic slate of services needed to be licensed as a general hospital)
- should medical professionals whose job duties include abortion be able to refuse this part of their jobs? (I would say no)
- how far should we go to reduce the burdens of parenthood and, by extension, make alternatives to abortion more attractive? (I'm open to ideas on this one)