Which is more important: to worship God, or to get along with your brother?
In Matthew 5: 23-24, Jesus seems to suggest that it is more pressing to resolve an ongoing disagreement with a brother than to offer a sacrifice to God.
This same thought is echoed in I Corinthians 11 where the segregated assembly is commanded to examine themselves prior to participating in the Lord's Supper together.
In my thirty plus years of life I have witnessed, and probably even contributed to, a lot of church conflicts. Yet I have never once seen worship services canceled or even postponed because two brothers needed to work things out first.