no they don't worship Allah, they worship Jesus. is Jesus same as Allah?? I've never ever in my life heard a christian say "o father please....", but always heard saying "Jesus , ......". Jesus is their focus. They worship Jesus so much they even sometimes forget the Father and the Holy spirit. and their God as (FSHS), is not Allah. Allah doesn't have those characteristics or virtues.
so we definitely don't worship the same God.
I was a Christian and can tell you that they worship the 'Father' too, whether they understand him in the right way, as I said, is not the question, but rather, they believe that God, created the universe, this God some of them believe is three in one, we are not debating whether their belief of him being three in one is right, but we are takling the concept that this God which they think is three in one, is the creator, the God of Abraham, which is the same God muslims believe in.
but Muhammed taught us to worship one God, Allah swt. So with it comes the second part of shahada. and as I mentioned the word 'muslim'. you need to pronounce shahada in order to be a muslim

. and shahada includes Muhammed as a messenger.
Exactly brother, worshipping Allah alone is not right if someone just worships him in his own way, saying 'I will worship Allah by eating ham' is in reality not worship. I agree, but what we are saying is not whether they worship him right or wrong, but do they worship him in anyway? Yes they do, they also worship others besides him, that's their problem.
as I said , from our view, they worship a prophet, we worship Allah az. does this look same to you?
My view as a Muslim is that they worship Allah AND, Keyword, AND a prophet. But even if they worshipped Allah alone, they would have to worship him according to the way of Muhammad, unless they did knew no better.
ask them about their God, and compare it to surah ikhlaas
Brother, I don't think you understand, if I asked a Christian to describe their God, they would say 'The Creator of the Heavens and the Earth, The Triune God...'
Some of their descriptions will be right and some wrong, I don't disagree, their understanding of God is wrong, but at the same time, within that understanding they do have a part which is right, they claim to worship The Creator, The First and the Last, The sustainer.