That is why we have adaptations called Christmas and Easter, about the Savior.
Why have adaptations?
Why not the real things?
Sukkot follows Yom Kippur or Day of Atonement. Yom Kippur is an extremely solemn day of fasting, prayer , self deprivation and repentance of the previous years sins. In contrast, Sukkot, 5 days later, is extremely joyous.
6 months later is Passover. When a lamb was slaughtered, and its blood put on the door frame, protecting the Jews from death.
Jesus became our Passover lamb, that whosoever believes on his name, should not perish, but have eternal life. John The Baptist proclaimed in John 1:29 the Jesus was the Lamb Of God, who takes away the sin of the world. Peter in 1 Peter 1:19 compares the blood of Christ, as that of a lamb without blemish or spot.
Understanding the Feast Of Passover, helps one understand and appreciate the death of Christ and when it happened, and what it symbolizes.
To separate it does an injustice to both the Passover Feast (which God himself instituted) and Christ the Lamb Of God (whom God sent)