Definitely not!
For those ignorant of the foundation of Islam and its predecessor the "Allah religion":
'Allah' is a pre-Islamic name...corresponding to theBabylonian Bel." [Encyclopedia of Religion, eds. Paul Meagher, Thomas O'Brian, Consuela Aherne (Washington D.C.: Corpus Pub., 1979), I:117]
"Allah was known to the pre-Islamic Arabs; he was one of the Meccan deities" (Encyclopedia of Islam, ed. Gibb, I:406)
"The Arabs, before the time of Mohammed, accepted and worshiped, after a fashion, a supreme god called allah"
(Encyclopedia of Islam, ed. Houtsma). [Encyclopedia of Islam, eds. Houtsma, Arnold, Basset, Hartman (Leiden: E.J. Brill, 1913), I:302]
"The name Allah, as the Qur'an itself is witness, was well known in pre-Islamic Arabia. Indeed, both it and its feminine form, Allat, are found not infrequently among the theophorous names in inscriptions from North Africa.” (Arthur Jeffrey, ed., Islam: Muhammad and His Religion (1958), p. 85.)
"According to Middle East scholar E.M. Wherry, whose translation of the Quran is still used today, in pre-Islamic times Allah-worship, as well as the worship of Ba-al, were both astral religions in that they involved the worship of the sun, the moon, and the stars."[E.M. Wherry, A Comprehensive Commentary on the Quran (Osnabruck: Otto Zeller Verlag, 1973), p. 36]
"In Arabia, the sun god was viewed as a female goddess and the moon as the male god. As has been pointed out by many scholars such as Alfred Guilluame, the moon god was called by various names, one of which was Allah!" [Alfred Buillaume, Islam (London: Penguin Books, 1954), p. 6]
The Crescent Moon Symbol
"South Arabia's stellar religion has always been dominated by the Moon-god in various variations" (Berta Segall, The Iconography of Cosmic Kingship, the Art Bulletin, vol.xxxviii, 1956, p.77).
"The God Il or Ilah was originally a phase of the Moon-God" (Coon, Southern Arabia, p.399). Also, "Similarly, under Muhammad's tutelage, the relatively anonymous Ilah, became Al-Ilah, The God, of Allah, the Supreme Being"
"Allah, the moon God, was married to the sun Goddess and had three daughters who were viewed as intercessors between Allah and men. The worship of the three daughters, Al-Lat, Al-Uzza, and Manat, was a significant part of the worship at the Kabah in Mecca." - Definitely NOT the God of Abraham!