I have four issue types that are not in the Default Issue Type scheme. My understanding is that when they're created they are automatically added to that scheme. Is there a database tweak or something i can do to add those to that scheme after they've been created? The problem it's causing is that I can't change issues to those four issue types using the "move" feature.

I saw another bug report where the issue type had to be in the default issue type scheme for that to work, and that seems consistent with the results I'm getting.

A workaround has been found. Refer to this article:
http://confluence.atlassian.com/display/JIRAKB/Issue+Types+Missing+from+the+Default+Issue+Type+Sheme

The Integrity Checker for JIRA should be improved to include a database check for automated inputs that cannot be configured from JIRA's UI.