Ah, great, another mindless alt-right folk.
Sounds like you haven’t read the old testament.
Depends. Afghanistan, Syria and Libya used to be very left-wing, until the western countries’ foreign policies turned them into a shit place. Then you have countries like Turkey, Kyrgyzstan, Uzbekistan, Turkmenistan and Tajikistan, with no Sharia Law whatsoever. Even countries like Iran and Iraq don’t have Sharia Law in the criminal system, although they do use it in social issues like marriage. One of the notable exceptions is Saudi Arabia, which is the most radical muslim country and a US ally.
No, on the contrary, in the beginning of the religion, Arabia won over many territories by a smart combination of warfare and commerce. However, the perception people had at the time was that religion should be kept to the religious authorities only, resulting in a system without religious prosecution. There were radical sects, but in places like Syria and Iraq, the Saracens created a system in which philosophical discussion and religious debates were freely discussed.
This was during the Islamic Golden Age, from which we got, among other things, our numerical system, algebra, and arabic names for stars. In comparison, christianity was burning witches and dissenters during the Crusades. But after the Crusades, the Mongol invasions of the 13th Century and the destruction of the Khwarezm Empire, the muslim world entered in decay and the fanatic sects gained traction, until they created theologies. The poverty and destruction created by many wars, and the cultural backlash the Ottoman Empire created against itself by trying to emulate Western culture (some “modern” muslim social practices come from medieval or renaissance Europe), created mostly poor agrarian societies, highly religious, and with little interest whatsoever to give up their religion. This is a —extremely resumed— overview of the track of most modern muslim countries, exceptions above.
A society that wants to eradicate a whole religion because of the actions of a few can hardly call itself liberal. There is no need to.