I worship the God of traditional Jews. That’s why traditional Jewish prayer pins it down to the God of Abraham AND Isaac AND Jacob; to emphasize taking exception to erroneous conceptions of God.
I believe Christians invoke Jesus or the Trinity to emphasize their taking exception to what they believe are erroneous conceptions of God.
The Catholic Church says they serve the same God as the Muslims.
You can’t invoke the God of Abraham without the the Son of God, so you are not worshiping the God of Abraham.
John 8:56 New American Standard Bible (NASB)
56 Your father Abraham rejoiced [a]to see My day, and he saw it and was glad.”
Footnotes:
(a) John 8:56 Lit in order that he might see
1 John 2:22-24 New American Standard Bible (NASB)
22 Who is the liar but the one who denies that Jesus is the [a]Christ? This is the antichrist, the one who denies the Father and the Son. 23 Whoever denies the Son does not have the Father; the one who confesses the Son has the Father also. 24 As for you, let that abide in you which you heard from the beginning. If what you heard from the beginning abides in you, you also will abide in the Son and in the Father.
“Scripture quotations taken from the New American Standard Bible®,
Copyright © 1960, 1962, 1963, 1968, 1971, 1972, 1973,
1975, 1977, 1995 by The Lockman Foundation
Used by permission.” (www.Lockman.org)