You will certainly deal with the messenger of the President...
You will certainly deal with the messenger of the President with more respect and veneration, while you will deal with the messenger of the police with more fear, safeguarding, and carefulness. This is what people usually do; they change and adjust their way of dealing with others and their type of communication, depending on the person in front of them and whom he/she represents.
Hence, from the very start you will not relate and deal with the Prophets and Imams (AS) the same way that you do with the rest of the people because the relationship here is very different, and whom they represent is the Great Lord and the King of Kings. It is rather desired that you keep your relationship with them in a unique and specific form with specific boundaries that differs from the rest of your relationships and communications.
It is unacceptable and illogical for you to expect that your relationship with them will be similar to your relationship with your brother or friend. As a matter of fact, this difference in relationship is in itself desired and recommended.
However, this “distance” will not prevent or hinder the Prophets from carrying out their jobs, for if Allah (SWT) knew that it would, He wouldn't have ordered us to keep that distance. This “distance” will also not hinder the revelation of the divine message and their instructions and guidance for us. Neither will it prevent them from teaching us, judging over us, and judging on us. It will never impede them from performing their roles which is what is required and desired.
It is not their position to be our buddy or entertainer. Does not every king or leader of a country, or manger of workplace, leave a certain distance between him/her and the people or employees? And does that obstruct them from carrying out their responsibilities and roles?