Sounds like a great combination . But I would not do that . Until recently I used Online Armor free , another great firewall with HIPS and uninstalled it. Why ?. Because your antivirus and ZoneAlarm have duplicates services in one of the two will have to disable that services.
If you would unnistall that duplicates options in your firewall, so you'll be very similar to windows firewall .
My advice is to use , as me, the windows firewall . Your computer will boot faster and properly configured is a great defensive tool .
That's my personal opinion, I have changed and I think I improved my system.
Kind regards