It’s quite simple

They pray to the God of Abraham and Isaac. So do the Hebrew. So do we.
However, we have received the word of the Son of God, who revealed us that the One True God is One Nature in Three Divine Persons - Father, Son, and Holy Spirit. Thus we claim to have the fullness of the divine revelation, or the spirit of truth that the world cannot receive.
That does not mean that we worship a different God, nor that they worship a different God. He simply revealed Himself to us more fully. They simply affirm that what we have received is not true. Still they address God in their prayers.
Look at it this way: if I am an old friend and I come to you after many decades and you don’t recognize me and insist on keep talking to me over the phone, you are still talking to me, but perhaps you don’t know me as much as the friends that recognize me and speak to me face to face. But you are still talking to me over the phone. It’s kind of simple-minded reduction, but I hope it makes sense. Other religions simply don’t address the living God of Abraham and Isaac, they address other deities. All that is good in their religion comes from God and leads towards God and the Gospel, but they are not addressing the One True God.
To go beyond this would be “politically incorrect” and probably not allowed on the forum. We would have to go over the Sacred Scriptures of each religion, and how they came to be, for example. For a Catholic all we need to do is hold on to the teaching we have received: