As a two-time breast-cancer survivor, Eve Sanchez Silver once supported the Susan G. Komen organization in her personal fight against a disease affecting hundreds of thousands of U.S. women each year. But when she found out while serving on the group’s National Hispanic/Latina Advisory Council that Komen was giving money to Planned Parenthood, the nation’s No. 1 abortion provider, she knew she had a problem.“Here was a breast-health organization — a very life-affirming organization, from my perspective — funding an organization that essentially kills people. I couldn’t understand why they thought that was okay.” Sanchez Silver, a retired medical-research analyst...