Out of curiosity, I decided to see if any other Western news outlets capitalize the word "prophet" in the Muslim manner when referring to the Abraham story behind Eid al-Adha, or when referring to Mohammed. Capitalizing "prophet" indicates that the style book of that publication is bending over backwards to accommodate Islam.
So far I've found:
Fort Wayne Journal-Gazette: "Eid ul-Adha commemorates the Prophet Abraham’s willingness to sacrifice his son, Ishmael, at God’s command, he said."
EarthTimes (UK): "Al Sheikh Ahmed Mohammed Abdullah Al Ali said in his Eid sermon that Muslims across the world commemorate the sacrifice made by Prophet Abraham as per the order of God."
The Journal News, Lower Hudson, NY: "The festival coincides with the annual hajj, the worldwide pilgrimage of Muslims to Mecca, Saudi Arabia, and commemorates the Prophet Abraham's willingness to sacrifice a son. Muslims believe that son to be Ishmael while the Bible says that Abraham was to sacrifice Isaac."
Milwaukee Journal-Sentinel: "The Eid, one of Islam's major festivals, commemorates the Prophet Abraham's willingness to follow God's will and sacrifice his son, who in the Islamic tradition was Ishmael."
Scoop (New Zealand): "The Ka’bah, House of Allah, built by Prophet Abraham (Ibrahim)[peace be upon him] and his son Ishmael (Isma’il-pbuh) four thousand years ago is the holiest site for the 1.6 billion Muslims all over the world."
East Valley Tribune, Phoenix: During the 30-minute rituals, they prayed in the direction of the sacred seat of their faith in Saudi Arabia, where the Prophet Muhammad was born and lived....The Feast of the Sacrifice commemorates a centerpiece moment for all three major monotheistic faiths, the time the Prophet Abraham (or Ibrahim) was about to sacrifice his son, Isaac (Ishmael), as a burnt offering to show his faith and obedience to God, only to be stopped by an angel and presented a ram to slaughter in his place."
NBC 17, North Carolina: "The holiday, which is also known as the Feast of Festival of Sacrifice, commemorates the Prophet Abraham’s willingness to sacrifice everything for God, even his son."
Los Angeles Times: "Badday's comments would prove accurate, capturing the experiences of pilgrims performing a series of rituals, many modeled on the life of the Prophet Abraham."
Toronto Star: "Hajj, for all able-bodied Muslims, is a religious obligation that must be fulfilled in one's lifetime. The week-long journey, which begins tomorrow, involves travelling to cities near Mecca to take part in a number of symbolic rituals re-enacting the struggles faced by the Prophet Abraham and his family as outlined in the Qur'an."
Detroit News: "The Prophet Mohammad cleaned the pagan idols out of the Ka'bah -- the world's oldest house of worship, which the Prophet Abraham constructed in 2000 B.C. -- and established the Muslim hajj, which has continued for more than 1,400 years."
The Record, Waterloo, Ontario: "Eid-ul-Adha, which takes place at the end of the hajj pilgrimage to Mecca each year, commemorates the story of the Prophet Ibrahim (Abraham) and his son Ishmael."
This Is London: "It commemorates the time when the Prophet Ibrahim was willing to sacrifice his son for Allah."
Ha'aretz (quoting Reuters): "At least 1.5 million people are expected to arrive from abroad in Mecca, where pilgrims follow a route around the mountains in line with a tradition established by the Prophet Mohammed. "
AFP: "Hamad had said the plot was revenge for satirical cartoons depicting the Prophet Mohammed published in European newspapers."