The verse you posted deals with Israel (worshipping other gods), the verse I posted deals with Gentiles (worshipping God). Islam worships what they do not know or understand.
Paul was using tact in reaching the hearts of those men of Athens.
Acts 17:22-25
[They worshiped many gods.]
23 for as I was passing through and considering the objects of your worship, I even found an altar with this inscription: TO THE UNKNOWN GOD.
[It appears they worshiped so many gods, they seemed uncertain as to if there were other gods they might have missed, hence they made an alter for even the unknown. Paul use this alter, as a stepping stone to directing their attention to the true God.]
Therefore, the One whom you worship without knowing, Him I proclaim to you:
24 God, who made the world and everything in it, since He is Lord of heaven and earth, does not dwell in temples made with hands. 25 Nor is He worshiped with men’s hands, as though He needed anything, since He gives to all life, breath, and all things.
The Israelites worshiped one God, who identified himself by name. Isaiah 42:8; Psalm 83:18
Even when they were unfaithful, they thought that they were still worshiping that one God. They deceived themselves into thinking this.
Exodus 32:5
Literal Standard Version
And Aaron sees, and
builds an altar before it, and Aaron calls, and says, “A festival to YHWH—tomorrow”;
Allah, the one and only God in
Islam.
Etymologically, the name Allah is probably a contraction of the Arabic
al-Ilāh, “the God.” The name’s origin can be traced to the earliest Semitic writings in which the word for god was
il,
el, or
eloah, the latter two used in the Hebrew Bible (Old Testament).
Allah is the standard Arabic word for God and is used by Arabic-speaking Christians and Jews as well as by Muslims.