Why would the right kill one of their get out the vote causes by banning/seriously restricting abortion?
Eliminating Roe v. Wade
1) Would be done by justices who have legitimate concerns about the Constitution and limited concerns about GOTV efforts.
2) Would be done by justices who oppose Roe v. Wade as a public litmus test against them so that Republicans appear effective. McCain often promises to appoint justices in line with this thinking.
3) Would cause the issue to bombshell as every state legislature and maybe Congress considers to what extent to limit abortion. It's not like overturning Roe v. Wade makes abortion illegal, it just makes it legislatively debatable.