I do agree that the perception its followers have of it is that it is consistent.
Islam spreads among Westerners in the West by presenting a truncated version of itself as the whole thing. If you understand that there are essentially three types of believers - nominal, eclectic, and true (or complete), then the situation becomes clear. Most believers, especially in any country where a religion, any religion, is legal tend to be nominal. In Orthodox countries, they wear a cross and go to church for half an hour at Pascha. Thus, most Muslims really ARE peaceful, because they aren’t all that interested in conducting jihad and seriously observing anything that requires real effort, but just want comfortable and prosperous lives here. The true believers accept the whole of their tradition and at least try to live it, to observe fasts, attend services, and in Islam, to do the hajj and conduct jihad of the pen, migration, and/or the sword. The eclectic believers are those who pick and choose the teachings they prefer to believe, and leave out the ones they don’t. Thus, we have plenty of Orthodox who reject one aspect or another of our teachings on marriage and sexuality or whatever, and in Islam there are those who really reject violent jihad, and other ugly aspects of Islamic teaching, and they have convoluted apologetics denying that it IS Islamic teaching, even though 1400 years of history say otherwise. And so it is a combination of true believers practicing taqiyya, the Islamic doctrine approving of lying to the kafir, that us, us, infidels, in order to spread Islam, the peace of Allah, throughout the earth, and eclectic believers who honestly believe Islam is a kind, loving, and tolerant religion, that are spreading Islam in the West among people who would never accept the obviously evil teachings. The true believers use the eclectic believers as suckers, as tools to achieve Islamic majorities, and when they have enough political power, the eclectics are swept aside. Ihlan Omar has a purpose, and when it is done, she will be made to bend the knee before all Islamic men. And politicians like Tulsi Gabbard, so sensible in her grasp of foreign policy, also help by promoting the idea that Islam is peaceful and compatible with Western secular society.