Bach's "Wachet Auf" is commonly performed during the season of Advent, when many Christian churches observe a time of expectancy while awaiting Christmas. The chorale thus has a suitably mystical and reverential tone.
Handel's "Hallelujah Chorus", on the other hand, is celebratory, powerful, and climactic.
Thus, "Hallelujah Chorus" is more exuberant while "Wachet Auf" is more stately.
