They worship the same God. They do not recognize that the God they worship is a Trinity.
Failing to recognize that that God is a Trinity of 3 Persons does not mean that they (Jews or Moslems) worship a different God.
What you present here is nothing new. The Church dealt with this in the earliest centuries. Your line of thinking has been considered fallacious for nearly 2000 years.
Your caricature of what I wrote is quite pathetic. I did not say that “all that is required” is to use the same word.
You obviously have problems with this. That’s your problem. It’s your issue to resolve.
It does not change the fact that Jews, Christians and Moslems all worship the same God. No reasonable person educated on this subject disputes it.