I don’t know, but I have my doubts, especially this year.
Thanksgiving is a North American civil holiday and not an actual religious holiday per se. Thanks to the nature of our American tradition and the function of religion in that tradition, for many it is the time that all faith traditions emphasize the importance of thanksgiving to the Creator and ultimate source of all blessing in life. So in theory, Muslims in the United States could easily embrace this American tradition and the function that it plays in our National identity and culture.
Did you know that there is another celebration, very significant to Muslims world-wide, that begins the day after Thanksgiving (this year) and this is the main reason for my doubts. It is simply a matter of the “prior” engagement that Muslims no doubt will be occupied with, much like my wife is now occupied with as she prepares for a house full of relatives for Thanksgiving. The Muslim festival I’m referring to is not just one day, but four days, and is called the “Festival of Sacrifice“.
This week Mohammedans celebrate their “Festival of the Sacrifice,” their Id al-adha, with slaying of animals and donations of the flesh to the poor. In New York City the festival has an unusual significance. It is due to the fact that the city has some 18,000 Moslems—Polish Tartars, Albanians, Turks, Hindus, Arabs, Malays, Filipinos. Some 700 assembled at Brooklyn last year for the first time for prayer, prostration and sacrifice. See the link above for more information of this festival which has some similiar features so prominent in our Thanksgiving activities, though we usually don’t refer to the slaughter of so many turkeys as a religious sacrifice. One final picture from Pakistan which is so prominent in our daily news, may be worth a “thousand words”.

March 14, 2011 at 8:48 am
UPDATE:
“For if the blood of bulls & goats and sprinkling the unclean, sanctifies for the purifying of the flesh, now much more shall the blood of Christ, who through the eternal Spirit offered himself to God, purge your conscience from dead works to serve the living God?” (Paul to the Hebrews)
October 24, 2012 at 8:13 am
UPDATE: October 24, 2012
Hajj begins today, the Muslim pilgrimage which precedes the Festival of Sacrifice referred to above. I’m more convinced than ever before that Christians, showing all due respect and humility, engage the practicing Muslim in dialogue w/ the distinctives of the Gospel of Christ using the many points in the Muslim faith as themes. From Twitter-
Millions Of Muslims Take Part In Rites Of #Hajj. Photo gallery here —> http://bit.ly/TfjMVx