We do not have the same God. We bible-believing Christians worship the living God, the Lord and Savior, Jesus Christ. There is no other.
Jews don't.
Catholics clearly demonstrate their infidelity when they attack and kill the faithful. Historically they demonstrate the truth of 1 John 5:1:
Whosoever believeth that Jesus is the Christ is born of God: and every one that loveth him that begat loveth him also that is begotten of him.
...that they are not "born of God."
If you want to make this some type of sectarian argument, take it to another thread, I’m not interested.