The way they work around it, is by going on the basis that the Gospels are an inaccurate rendition of what happened and what Jesus said. In any conflict between the Qu'ran and the Old or New Testements, the Party line is that whatever contradicts the Qu'ran is incorrect, and the Qu'ran is the correction to it.
Per Islam, the Word was originally given to Moses, and was later corrupted, then Jesus came along to correct it, and his words were distorted, so Allah sent Mohammod the final correction