To Catholics, as with all Christians, God is Jesus Christ.[1]
The Islamic view is that Jesus of Nazareth was a prophet.[2][3] (The audio answer is a bit long, but quite good.)
The argument that Allah is the same as the Father in the Christian trinity depends on various heresies[4] (incorrect claims), maybe one of Monarchianism, Sabellianism, Tritheism.
So, no, neither religion accepts that they are one and the same. And this is due to central tenets of each respective faith.
Haha, well, I'm skeptical that obscure exegesis is much of a way to get closer to God, though maybe for this audience it could be.
As it's impossible to quantify the unknown, when we approach a subject we're not familiar with, our bias is to assume it's very simple. So I think it's helpful to dig in a little to give a hint at the vast amount of scholarly work done on these subjects.
The Islamic view is that Jesus of Nazareth was a prophet.[2][3] (The audio answer is a bit long, but quite good.)
The argument that Allah is the same as the Father in the Christian trinity depends on various heresies[4] (incorrect claims), maybe one of Monarchianism, Sabellianism, Tritheism.
So, no, neither religion accepts that they are one and the same. And this is due to central tenets of each respective faith.
[1]: http://www.vatican.va/archive/ENG0015/__P1I.HTM
[2]: http://www.askislam.org/people/prophets/jesus/question_566.h...
[3]: http://www.askimam.org/public/question_detail/40921
[4]: https://en.wikipedia.org/wiki/List_of_movements_declared_her...