Sorry, Allah is considered to be God's actual name.
No, it's Arabic for God.
Look, here's the first verse of the Bible in Arabic (translated by Smith & Van Dyke in 1865).
فِي الْبَدْءِ خَلَقَ اللهُ السَّمَاوَاتِ وَالأَرْضَ
Note that the word for God is اللهُ --- Allah --- because that is the Arabic for God. If you told an Arab, whether a Muslim or a Christian Arab, "لا أعتقد في اللهُ", you would be claiming to be an atheist, rather than claiming to disbelieve in the Islamic take on God in particular.
Edited by Dr Adequate, : No reason given.