I have been coming to curezone off and on for the past 5 years and have never had any problems with the site - never. I use "Ad-Aware" from Lavasoft plus I use a little program which is free and really good at getting rid of spyware. It's called "CCleaner", which is short for crap cleaner. You can find this one at http://www.CCleaner.com
Between the two of them, plus a good defrag of my machine and AVG free virus protector, I have absolutely no problems with the site.
PS: It sounds more like a virus on your machine than any problems with curezone.