I have also recently been having the same problem with Windows Updates, twice now. It's not that I can't get to the website or download them, but installing them causes the Windows Updates to fail. I've even gone so far as to contact Microsoft's Update Support Center and they basically shut down ZA and things installed fine.
My ZA specs:
ZoneAlarm Security Suite version:8.0.298.035
Anti-virus engine version:22.214.171.1248
Anti-virus signature DAT file version:982741463
Anti-spyware engine version:126.96.36.199
Anti-spyware signature DAT file version:01.200904.5755