You keep implying increased access to abortions has somehow made society worse but you don't explain why. I would argue it's made society better; more women have the power to delay motherhood until a more convenient time for them.
At the very least, as a premise, we can't deny that (subsidized, easy, "hygienic", confidential, and de-stigmatized) abortion completely changes the game, and rearranges all expectations around sex. This phenomenon is true in economics as well, where the mere existence of a new legal option is known to alter the perception of costs / benefits, sometimes in a way that -- while giving a new choice to the few -- ends up harming a far greater number, by changing the meaning of
not taking that option.
Illustration: the "right to die." It intends to offer a new route for the few willing and cognizant, but quickly ends up pushing an implicit guilt onto other elderly / severely disabled people who do not elect to use it -- because it is now communicated to them that remaining alive through later phases is entirely their own choice, and hence their fault alone if they remain a burden on loved ones. Countries that have made euthanasia a standard and normalized option, the way we have with abortion, have seen great rises in euthanizing those with dementia, severe disabilities, and so on.
That's the deepest cut abortion makes, by rearranging the meaning of following the natural course of pregnancy, so that it is now implicitly understood by the potential father (and others -- employer, etc) to always be a kind of willful choice by the woman. Instead of pregnancy being given respect as something self-enfolding that the rest of us need to arrange around, and make room for, it becomes a privatized matter that the woman is fully responsible for, since she now can always be understood as "choosing" to keep the child all of her own volition, and is therefore the sole person responsible when she keeps it. This damages our understand of children, family, and respect for pregnancy beyond repair. We have absolutely seen a dramatic retreat of paternal responsibility over the past decades.
In all these cases, it is by no means a consequence-free benefit to carve up natural realities into many separate choices, and to say that something like abortion merely makes our options more flexible. No, it changes expectations, changes the meaning of actions, and ends up sacrificing something crucial about life on the altar of a kind of market libertarianism, implicating and affecting all of us.
Sex isn't assumed to be risk free. Really on this matter, all of the old way stuff has expired. Abstinence only programs and virginity pledges statistically don't stop people from getting STD's, and today we have scary ass super STD's. Nevertheless the traditional way doesn't work that we'll overall for preventing sex because society is too connected.
Earlier I noted that merely teaching abstinence to a group of kids today isn't at all effective, because the material reality of the sexual market inevitably determines our actions far more than what we're taught in response to it. So on a certain level, I agree. Yet the sexual market we have now is by no means some automatic consequence of being "too connected." Plenty of close-knit societies long maintained extremely robust kinship / marriage cultures and avoidance of illegitimacy. Abortion (institutionalized, subsidized, always available, private, etc), on the other hand, is a major component of the material circumstances shaping our reality today, and that's why this debate is critical and not merely a matter of individual choices.