Contradiction with Matthew 5:39
Acts 24:6 accuses Paul of stirring up trouble, whereas Matthew 5:39 encourages turning the other cheek and non-retaliation.
Matthew 5:39: But I say unto you, That ye resist not evil: but whosoever shall smite thee on thy right cheek, turn to him the other also.
Contradiction with Romans 12:18
Acts 24:6 implies conflict caused by Paul, but Romans 12:18 advocates living peaceably with all people.
Romans 12:18: If it be possible, as much as lieth in you, live peaceably with all men.
Contradiction with John 7:24
Acts 24:6 results from judgment against Paul, while John 7:24 advises judging righteously.
John 7:24: Judge not according to the appearance, but judge righteous judgment.
Contradiction with 1 Peter 3:9
Acts 24:6 suggests Paul was causing unrest, contrary to 1 Peter 3:9's call for blessing instead of evil for evil.
1 Peter 3:9: Not rendering evil for evil, or railing for railing: but contrariwise blessing; knowing that ye are thereunto called, that ye should inherit a blessing.