Case in point, New Zealand, where abortion is legal but the per capita rate is only a fraction of that in the US. Comprehensive, evidence based sex education in school and access to birth control stop most unwanted pregnancies from happening in the first place. Support for mothers and families who want to have babies (including access to healthcare, family leave , subsidized childcare, child tax credits, safety nets for struggling families etc) so they don't feel the need to abort for financial reasons.
If conservatives in the US are truly worried about lowering abortion rates, they would be fighting for these things rather than focusing on women's healthcare choices.