I recently installed Webroot SpySweeper and am experienceing similar problems: the ZoneAlarm appears to be constantly running update, and I don't have an option of running Antivirus or Antispyware sweeps.

After installing SpySweeper, I had proplems with ZoneAlarm's True Vector service crashing unitl I disabled all SpySweeper background processes; now I just have the constantly running ZoneAlarm update problem.

Any help is appreaciated.