That sounds like a legal system in some other country, like China. Here in the United States we were founded on freedom of the people, restrictions on oppression.
Morality is far to diverse to create laws that hold down an entire population.
The problem I have with the second part is that the prostitute is not forcing you to do or not to do anything. You do not have to be a part of prostitution. Enforcing a law against prostitution is forcing a person to not live their life. They have no choice but to stop their actions. If you are never going to use a prostitute, why worry about someone who does?
Prostitute: not imposing anything, everyone is free to do as they please
Anti-prostitute: imposing laws to stop, a portion of the population must adhere.
The need for order in a society is fine, but there is nothing about prostitution that is exclusively in disorder. If you want prostitution to be outlawed because you believe it causes things like infidelity and disease, then a whole shrew of things must be made illegal. What about bars and alcohol? What about beds where the disease and sex probably occurs? What about toilets where a person can contract crabs? Should all of these things be outlawed? You want prostitution to be outlawed because it could lead to damage, where does that end?