Check out Fossil SCM
- Bug Tracking And Wiki
- Web Interface
- Autosync
- Self-Contained
- Simple Networking
- Robust & Reliable
We use it for our projects and it's small scale, free, self hosted, and has an amazing web interface.
Check out their live Timeline tool showing the changesets to the project: http://fossil-scm.org/index.html/timeline?y=ci
To go to your points:
- It does not use git but its own commit system.
- The issue tracker is really well done and has a bug tracker/issue system(see their website)
- Has a merging tool/pull system
- The repositories can be hosted locally. The website view that fossil-scm's website has can be login-only for viewing changesets. It's just public for demonstration
- Online viewing is available
- Online editing is also available, for any changeset