What you are implying the world should be like is easier said than done. Its easy to say "I wont judge people by their appearance", but the next time an old woman in ragged clothes comes up to you with her hand held out, your first thought will be that she will say "please sir, do you have any change" instead of "please sir, can you help me, I just wrecked my mercedes".
Cops have an even tougher time. Say they stop singling out the 'bad eggs', and spread their attention around. This gives he 'bad eggs' more time to break into our homes while we are late to work because a cop pulled us over for 2mph over the limit, while spreading his attention around.
Airports are trying the opposite approach... completely random attention. What do people say about that method? they say things like "why did airport security search my 92 year old grandmother, while the arab man behind us in line with the bulge in his coat was not searched". Be careful you are not asking for a fantasy, such a airport security that does no profile but still operates in an efficient and effective manner. Or cops who do not profile, but still operate in an efficient and effective manner.
Can profiling be an ignorant and destructive thing? Yes. Is it sometimes useful, and even necessary, in order to achieve a necessary goal? What do you think?