Why do Catholics care if Non-Catholics have abortions?

Many Catholics picket abortion clinics knowing full-well that the women wanting to have abortions are not Catholic. Most women who seek abortions are not women of faith, and many of them would end up keeping the baby if they were denied an abortion, as opposed to surrendering the baby to a Catholic adoption service. While, Catholics are trying to save the lives of the non-Catholic unborn, Muslims throughout the world are successfully converting millions of people to Islam. It seems like the Catholics' energy could be better spent on converting people to Catholicism who are capable of being converted, rather than trying to save the unborn babies of secular ne'er-do-wells who do absolutely nothing for the Catholics who try to help THEM. What are your thoughts?