The first, Taqiyya, not only allows Muslims to lie to Infidels, but encourage it for the advancement of Islam.
The second, Abrogation, means that any saying of Mohammed which may contradict a previous saying is abrogated, that is “abolish, do away with, or annul,”. Keep in mind the Quran is not in chronological order like the Bible is.
When We substitute one revelation for another,- and Allah knows best what He reveals (in stages),- they say, “Thou art but a forger”: but most of them understand not.
Surah 2:62 is abrogated by Surah 3:85 below,
Those who believe (in the Quran) and those who follow the Jewish (scriptures) and the Christians and the Sabians, – Any who believe in Allah and the Last Day, and work righteousness, shall have their reward with their Lord: on them shall be no fear, nor shall they grieve.
Surah 5:69 is also abrogated by Surah 3:85 below.
If only they had stood fast by the Law, the Gospel, and all the revelation that was sent to them from their Lord, they would have enjoyed happiness from every side. There is from among them a party on the right course : but many of them follow a course that is evil.
If anyone desires a religion other than Islam (submission to God), never will it be accepted of him; and in the Hereafter he will be in the ranks of those who have lost (All spiritual good).
Thus when a Muslim quotes a Surah to make a point that has been abrogated they are practicing Taqiyya.
The third, Cultural Jihad is the Islamic plan to dominate non Islamic countries by stealth, by immigration and using their own laws and customs to convert the country into an Islamic country, that is what is going on in Europe now.
“What makes The Project so different from the standard “Death of America! Death to Israel!” and “Establish the global caliphate!” Islamist rhetoric is that it represents a flexible, multi-phased, long-term approach to the “cultural invasion” of the West. Calling for the utilization of various tactics, ranging from immigration, infiltration, surveillance, propaganda, protest, deception, political legitimacy and terrorism, The Project has served for more than two decades as the Muslim Brotherhood “master plan”. As can be seen in a number of examples throughout Europe – including the political recognition of parallel Islamist government organizations in Sweden, the recent “cartoon” jihad in Denmark, the Parisian car-burning intifada last November, and the 7/7 terrorist attacks in London – the plan outlined in The Project has been overwhelmingly successful.” Cultural Jihad