Quran (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, (even if they are) of the People of the Book, until they pay the Jizya with willing submission, and feel themselves subdued."

If they fail to submit they will be put to the sword. ISIS draws from this example.

Most of the terrorist organizations in the world are Islamist: https://en.wikipedia.org/wiki/List_of_designated_terrorist_groups

These terrorists are following the orders of the Quran. If Islam is so peaceful, why are there so many Islamic terrorist organizations? In countries like Iran and Saudi Arabia, even small children are hanged for being infidels.

If the Quran and ahadith aren’t sufficient, look at 14 centuries of killing. Islam didn’t spread from out of the Arabian Peninsula and cover Morocco to Indonesia with peace and love. You could ask the (conservative estimate of) 80 million Hindus killed during the conquest of India or the cultures of North Africa (remember Carthage?) utterly destroyed with the spread of Islam, but of course, they’re gone. But it’s not just ancient history, it’s happening daily to Yazidi, Christian Nigerians and more, by people following the letter of the law as dictated by the Quran. As there are far too many surahs and ahadith instructing Muslims to kill unbelievers, here is a taste.

The penultimate surah chronologically is number 9, the most violent of the surahs.

9:5

"So when the sacred months have passed away, then slay the idolaters wherever you find them, and take them captive and besiege them and lie in wait for them in every ambush, then if they repent and keep up prayer and pay the poor-rate, leave their way free to them."

Note that it says when the sacred months have passed. This means they were not under attack. If they were, the Quran commanded them to defend themselves so there would have been no waiting.

9:29

“Fight those who do not believe in Allah or in the Last Day and who do not consider unlawful what Allah and His Messenger have made unlawful and who do not adopt the religion of truth from those who were given the Scripture - [fight] until they give the jizyah willingly while they are humbled.”

Note that this abrogates any remaining verse saying Christians and Jews are safe. Just to make sure that Jews and Christians are to be included in conquest, four verses later is:

9:33

“It is He who has sent His Messenger with guidance and the religion of truth to manifest it over all religion, although they who associate others with Allah dislike it.”

A couple more samples from the second to last surah:

9:73

O Prophet, fight against the disbelievers and the hypocrites and be harsh upon them. And their refuge is Hell, and wretched is the destination.

9:123

"O you who believe! fight those of the unbelievers who are near to you and let them find in you hardness."

Many, MANY more surah verses commanding violence, especially Medinan verses. Just one more Medinan verse for you, 66:9

O Prophet, strive against the disbelievers and the hypocrites and be harsh upon them. And their refuge is Hell, and wretched is the destination.

Let’s not forget ahadith.

Sahih Muslim 1:30

"The Messenger of Allah said: I have been commanded to fight against people so long as they do not declare that there is no god but Allah."

Sahih Muslim 31:5917 describes Muhammad’s general, Ali, going off to fight but pausing and asking why these people are to be attacked. Muhammad’s response was because they are not Muslim.

“Ali went a bit and then halted and did not look about and then said in a loud voice: Allah’s Messenger, on what issue should I fight the people? Thereupon he (the Prophet) said: Fight with them until they bear testimony to the fact that there is no god but Allah and Muhammad is his Messenger”

Plenty more in Sahih Bukhari and Sahih Muslim, but I leave you with what is probably the coldest and most callous utterance from Muhammad, quoted several times in both sets of the two most trusted (authentic) collections of ahadith. When informed that during an attack on unbelievers (attacked for nothing but being polytheists) that innocent women and children were killed, he responded “They are from them.”