Well, here is how the Muslim will answer Dr. Carson....
Muslims present specific Quranic citations in order to convince non-Muslims, especially Westerners, that Islam is a very tolerant religion that allows for or even promotes peaceful coexistence with other religious groups. The most famous citation, one that I am sure many Westerners have heard presented on the media, is the Quran’s Surah 2:256:
“There is no compulsion in religion; truly the right way has become clearly distinct from error; therefore, whoever disbelieves in the Shaitan and believes in Allah he indeed has laid hold on the firmest handle, which shall not break off, and Allah is Hearing, Knowing. Shakir.”
““There is no compulsion in religion; ... blah blah blah”
Look at the laws of Islamic countries that use sharia and see if that is how it works. Nope not even close. The problem is that Islamic texted are often contradictory. So much so that they have a doctrine that says when they contradict, the one written later takes precedence. That passage is not relevant to the application of sharia.
Abrogation is where earlier things that mohammed (fhuta) said are rendered null and void by later things that he said.
Qur'an 2:256 is abrogated - for instance - by the following verses:
O Prophet! Strive against the disbelievers and the hypocrites! Be harsh with them.... (9:73)
O ye who believe! Fight those of the disbelievers who are near to you, and let them find harshness in you.... (9:123)
Abrogation is the only method of reconciling the contradictory things that mohammed said.
In Islam there is the law of abrogation that establishes that the last Surah nullify the previous Surah when they are in contradiction. In the beginning, when the Muslims were a small minority they preached peaceful coexistence with other religions. As soon they were strong Islam called for the forced conversion of the infidels to Islam, remain as third class citizens paying a heavy tax, or being put to death.