This interpretation is wrong, because that would go against the verse of the Quran:
"Today, I have completed your religion, perfected My blessing upon you, and I have decreed Islam as the religion for you..."(5:3)
Islam is not forcing you to become a muslim but on the other hand it's not telling you to go and become a christian or a jew neither. Because the "blessing" decreed for you is Islam
Who do you thing the "truth" is referring to? Christianity? Judaism? Of course not, the thruth is Islam. (According to the us i.e.)