You don't seem to have too many people responding to your question, maybe because there isn't anybody that frequents this forum that has the same conflict. I'm sorry but I don't use either product so I can't answer you question but while you are waiting for a response here, you might also want to try the Zone Labs forum.
Zone Labs says that newest upgrade incorporates Spyware catcher provided by Computer Associates. I assume that it is referring to CA's "PestPatrol." I already had Pest Patrol installed when I upgraded Zone Alarm. This seems to have caused a conflict between the two. But, when I tried to uninstall Pest Patrol it wouldn't uninstall. Wondering if anyone else has encountered this problem?