Not in this scenario.
And guess what kind of “love” the Mahometans would show them if they did not have who they both regard as their common foe?
Not to mention, the Gospel is meant to be a witness against mankind and mankind’s errors. The Mahometans insist that the Injeel (Gospel) that the Christians observe has been corrupted and any “witness” to the contrary is regarded by them as blasphemy punishable by death.
The Lord Jesus: “Ye have heard that it hath been said, Thou shalt love thy neighbour, and hate thine enemy. But I say unto you, Love your enemies, bless them that curse you, do good to them that hate you, and pray for them which despitefully use you, and persecute you; That ye may be the children of your Father which is in heaven: for he maketh his sun to rise on the evil and on the good, and sendeth rain on the just and on the unjust. For if ye love them which love you, what reward have ye? do not even the publicans the same?” - - Matthew 5:43-46
Is not Jesus here warning against excluding the ones to whom we would in our fallen natures make exception? To love the unlovely, to carry the gospel to a people groups, to less those who curse us, this is the duty of His church, against which the very gates of Hell shall not prevail.