The Quran itself condemns moon worship. Muslim scholars cite the 37th verse of Sura Fussilat as proof against the moon god claim:

وَمِنْ آيَاتِهِ اللَّيْلُ وَالنَّهَارُ وَالشَّمْسُ وَالْقَمَرُ لَا تَسْجُدُوا لِلشَّمْسِ وَلَا لِلْقَمَرِ وَاسْجُدُوا لِلَّهِ الَّذِي خَلَقَهُنَّ إِن كُنتُمْ إِيَّاهُ تَعْبُدُونَ

41:37. Among His Signs are the Night and the Day, and the Sun and the Moon. Do not prostrate to the sun and the moon, but prostrate to Allah, Who created them, if it is Him ye wish to serve.

The claim that Allah was worshipped as a moon god in Arabia is a fringe theory that has been promoted by some groups of American evangelicals since the 1990s.The idea was supposedly promulgated by Hugo Winkler in 1901, and proliferated from a publication of Robert Morey's pamphlet The Moon-god Allah: In Archeology of the Middle East (1994) which was eventually followed by his book The Islamic Invasion: Confronting The World's Fastest-Growing Religion (2001).Morey's ideas were popularized by cartoonist and publisher Jack Chick, who drew a fictionalized cartoon story entitled "Allah Had No Son". One Islamic commentator has refuted the idea as "not only an insult to Muslims but also an insult to Arab Christians who use the name 'Allah' for God

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Who is  Allah ??

Is he Baal , Lat , Uzza , Moon god ..., a tree , Budha , Jesus ...Muhammad .....etc ? 

1- There is nothing like unto him
42:11 The Originator [is He] of the heavens and the earth. ................ There is nothing like unto Him, and He alone is all-hearing, all-seeing. 

So , as far all the mentioned characters look like something , then no one of them is Allah .Simple logic !
 
But is he Yahwh ? Let's see

Deuteronomy 4
15 So watch your conduct closely, because you didn’t see any form on the day the Lord spoke to you at Horeb out of the very fire itself. 16 Don’t ruin everything and make an idol for yourself: a form of any image, any likeness—male or female— 17 or any likeness whatsoever, whether of a land animal, a bird that flies in the sky, 18 an insect that crawls on the earth, or a fish that lives in the sea. 19 Don’t look to the skies, to the sun or the moon or the stars, all the heavenly bodies, and be led astray, worshipping and serving them. The Lord your God has granted these things to all the nations who live under heaven

In other words , " There is nothing like unto Him, and He alone is the All-hearing, All-seeing" (Quran 42:11).

Exodus 20
2 I am the Lord your God who brought you out of Egypt, out of the house of slavery.
3 You must have no other gods before[a] me.
4 “You shall not make for yourself an image in the form of anything in heaven above or on the earth beneath or in the waters below. 
5 Do not bow down to them or worship them, because I, the Lord( your God), am a jealous God,

In other words , " There is nothing like unto Him, and He alone is the All-hearing, All-seeing"  (Quran 42:11)

#Jehovah_Yahweh

If you mean that Jehova is the creator of the heaven and the earth , The God of Abraham who sent him and who Abraham prayed to him .

Who  is One, Unique and Perfect. 
 Has no partners, no equals and no rivals. Has no father, mother, sons, daughters or wives. 

Who is not like a man, and not an idol, and not a trinity,  has no sons , no family.

If you mean that this is Jehova , then yes we believe in the same God .