This is an action that has dire consequences for all groups, not just religious. All other groups (regardless of affiliation, liberal or not) should be concerned about logical implications of this decision. Logically it opens the door to any group being required to allow leaders that not only do not represent the beliefs and convictions of the group, but that stand in direct opposition to them. For example: an atheist group could be led by a Christian; a pro-choice group could be led by a pro-life proponent; a Democrat group could be led by a Republican; a LGBT group could be led by a supporter of the Westboro Baptists.
The whole purpose of groups is to have a collection of people to support each other. These people must hold common convictions to do so. The leaders especially must hold the common convictions if they are to lead the support of the group. Without the common convictions among members and leadership the group will lose its purpose and reason for existence from within. The group will eventually disintegrate because there is nothing holding them together.
This could be a veiled attack against the right of assembly by attacking the very foundations of what a "group" is. A subtle way to squash opposition (academic or otherwise) seems to be in play here. Every group that assembles is in danger by this decision. This action is not something that ANY group should be excited to see happen...except those who are irrational, illogical and driven by their emotions. (Un)fortunately, one misstep by those groups will compromise their own group and convictions by the "reasoning" they are now championing.