Yes, they do...in fact, Bush 43 did the same thing in 2001...magritte
Bush 43 held “iftar” events quite frequently during his 8 years in the White House
http://www.gsafweb.org/TrusteeNews/elbazwhitehouse.html
And Muslim military members go to do, gasp!, prayers at the White House during Ramandan 2006
http://www.muslimmilitarymembers.org/article.php?story=20061109075739459