with Ad-aware ad-watch live! and AntiVir. Ad-watch live (the real time protection by Ad-aware) will only monitor the processes. AntiVir will monitor everything. If you have enabled the DownloadGuard for IE by Ad-Aware, that's another real-time protection when using IE.

Should not have issue with AntiVir to monitor the system but you should configure AntiVir to exclude Ad-Aware folder, processes so AntiVir will not interfere with Ad-Aware (in case Ad-Aware will detect anything and want it remove).