I have two things to add. First, Trump correctly notes that many people believe that the Qur'an has a lot to say about love. Here are some of the Qur'an's extensive verses on love:
Qur’an 2:190—Allah does not love those who exceed the limits.
Qur’an 2:276—Allah does not love any ungrateful sinner.
Qur’an 3:32—Allah does not love the unbelievers.
Qur’an 3:57—Allah does not love the unjust.
Qur’an 4:36—Allah does not love him who is proud, boastful.
Qur’an 7:31—[Allah] does not love the extravagant.
Qur’an 8:58—Allah does not love the treacherous.
Qur’an 28:77—Allah does not love the mischief-makers.
Qur’an 57:23—Allah does not love any arrogant boaster.
Second, Trump wonders whether the violence in Islam comes from Muslim sources or from somewhere else. Here are some Muslim sources to clarify.
Qur’an 5:51—O you who believe! do not take the Jews and the Christians for friends; they are friends of each other; and whoever amongst you takes them for a friend, then surely he is one of them; surely Allah does not guide the unjust people.
Qur’an 9:29—Fight those who believe not in Allah nor the Last Day, nor hold that forbidden which hath been forbidden by Allah and His Messenger, nor acknowledge the Religion of Truth, from among the People of the Book, until they pay the Jizyah with willing submission, and feel themselves subdued.
Qur’an 9:73—O Prophet! strive hard against the unbelievers and the hypocrites and be unyielding to them; and their abode is hell, and evil is the destination.
Qur’an 9:111—Surely Allah has bought of the believers their persons and their property for this, that they shall have the garden; they fight in Allah's way, so they slay and are slain; a promise which is binding on Him in the Taurat and the Injeel and the Quran; and who is more faithful to his covenant than Allah? Rejoice therefore in the pledge which you have made; and that is the mighty achievement.
Qur’an 9:123—O you who believe! fight those of the unbelievers who are near to you and let them find in you hardness; and know that Allah is with those who guard (against evil).
Qur’an 47:35—Be not weary and fainthearted, crying for peace, when ye should be uppermost: for Allah is with you, and will never put you in loss for your (good) deeds.
Qur’an 48:29—Muhammad is the Messenger of Allah, and those who are with him are severe against disbelievers, and merciful among themselves.
Qur’an 98:6—Verily, those who disbelieve (in the religion of Islam, the Qur'an and Prophet Muhammad) from among the people of the Scripture (Jews and Christians) and Al-Mushrikun will abide in the Fire of Hell. They are the worst of creatures.
Sahih al-Bukhari 2785—Narrated Abu Hurairah: A man came to Allah’s Messenger and said, “Guide me to such a deed as equals Jihad (in reward).” He replied, “I do not find such a deed.”
Sahih Muslim 33—It has been narrated on the authority of Abdullah b. Umar that the Messenger of Allah said: I have been commanded to fight against people till they testify that there is no god but Allah, that Muhammad is the messenger of Allah, and they establish prayer, and pay Zakat and if they do it, their blood and property are guaranteed protection on my behalf except when justified by law, and their affairs rest with Allah.
Sahih al-Bukhari 2796—Narrated Anas: The Prophet said, “A single endeavor (of fighting) in Allah’s cause in the afternoon or in the forenoon is better than all the world and whatever is in it.”
Sahih al-Bukhari 2797—Narrated Abu Hurairah: The Prophet said, . . . “By Him in Whose Hands my soul is! I would love to be martyred in Allah’s Cause and then come back to life and then get martyred, and then come back to life again and then get martyred and then come back to life again and then get martyred.”
Sahih al-Bukhari 2810—Narrated Abu Musa: A man came to the Prophet and asked, “A man fights for war booty; another fights for fame and a third fights for showing off; which of them is in Allah’s Cause?” The Prophet said, “He who fights that Allah’s Word (i.e., Allah’s religion of Islamic Monotheism) be superior, is in Allah’s Cause.”
Sunan An-Nasa’i 3099—It was narrated from Abu Hurairah that the Prophet said: “Whoever dies without having fought or having thought of fighting, he dies on one of the branches of hypocrisy.”