If anything, cats can be more dangerous as they don't have the pack instinct like dogs do. It's just that people are more intimidated by dogs with all their teeth and their barking.
I have dogs bark at me all the time when I'm out walking my dog (in the country, everyone has them), and the thing you notice, is how much power they have over people afraid of dogs, but if you just tell them to shut up and go away (firmly), they usually do!
Also, a cats claws can be VERY painful. The little blighters dig their claws in when you stroke them - either they are doing so because they are in some kind of (pseudo-)sexual arousal and the claws come out involuntarily, or they're vicious little {bleep}ers. Either way, its not nice to have a cat dig its claws into you.