Credit for this idea belongs to /u/magichasaids.

A modest proposal: in the event of a draw/tie when the battle day clock expires, the team with the HIGHEST AVERAGE DESTRUCTION would claim victory. In the rare instance that both teams have the same Avg Destruction percentage, AVERAGE ATTACK DURATION would then be considered.

Why should the outcome default to a draw/tie when other relevant statistics are in play? If those statistics show how one team outperformed the other team regardless of a matching star count, those statistics should mean something. If a war comes down to 52/52 and one team has 83.6% Avg destruction while the other team only has 78.7%, for example, 83.6% would take the win.

Ties are more discouraging than the latest AQ ai patch.

VICTORY = HIGHEST WAR STARS then HIGHEST AVERAGE DESTRUCTION

Edit: New Stars per Attack would also be a relevant statistic, however still secondary to, or perhaps in conjunction with, highest Average Destruction. Thanks to /u/Bostitch88 for pointing that out.