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"Irrelevant. Hill was a murderer and got the punishment he deserved."

Was Hill a murderer for killing a murderer? In this case I believe the answer is yes, though as a bible believing Christian I know that the doctor was guilty of murdering children also.
We Christians are called to be at peace with men and to preach the gospel at all costs, even our lives ( God will give us grace to overcome our fear of death in Christ Jesus); however, Lord Jesus also tells us by the apostle Paul in the book of Romans12:19,20,21,

"Dearly beloved, avenge not ourselves, but rather give place unto wrath: for it is written, Vengence is mine; I will repay, saith the Lord.
Therefore if thine enemy hunger, feed him; if he thirst, give him drink: for in so doing thou shalt heap coals of fire on his head.
Be not overcome of evil, but overcome evil with good.

So we know as Christians that the Lord Jesus Christ will judge the manslayers (including the abortionist doctors and all those who support these murderers) in His Kingdom, (unless, of course, they repent of their murders and other sins and admit how that Jesus Christ(God in the flesh) died for these same sins and rose the third day for their justification; thereby allowing the Lord Jesus Christ to come into their lives and cleanse their sins, that God may convert them and heal them.
Or these abortionists and other manslayers can say "no" and not make peace with God the Father through the One mediator between God and man, the man Christ Jesus. All men must make that free choice on their own.
Hill did not choose to let Lord Jesus Christ choose His day of wrath for the abortionist doctor and killed the murderer and may have deprived the abortion doctor his remaining days to come to peace with God by Christ Jesus.
Not to mention the fact that Hill also murdered a security guard who probably never murdered a child his whole life; though some will point out that it is not good to work for or support murderers even if they have doctor as a precurser of thier name.
And what about the oath the doctors take concerning doing no harm to men, or do they consider young human beings something less than human, created by God in His own image.