If that was the case, then good people who aren't Christians/worshippers wouldn't be damned, but they are.
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This is for both of you. In those scriptures, he asserts in his Word that he wants worship, and that he wants worship only for himself. Examples that stand out:
John 4:21-24New International Version (NIV)
21 “Woman,” Jesus replied, “believe me, a time is coming when you will worship the Father neither on this mountain nor in Jerusalem. 22 You Samaritans worship what you do not know; we worship what we do know, for salvation is from the Jews. 23 Yet a time is coming and has now come when the true worshipers will worship the Father in the Spirit and in truth,
for they are the kind of worshipers the Father seeks. 24 God is spirit, and
his worshipers must worship in the Spirit and in truth.”
Deuteronomy 29:18New International Version (NIV)
18 Make sure there is no man or woman, clan or tribe among you today whose heart turns away from the Lord our God to go and worship the gods of those nations; make sure there is no root among you that produces such bitter poison.
There's also this:
Acts 12:23New International Version (NIV)
23 Immediately, because Herod did not give praise to God, an angel of the Lord struck him down, and he was eaten by worms and died.