@Linkat,
It is part of Democracy, and it has happened since the beginning of our political system. John Adams was actually accused of having both male and female sex organs, Jefferson was allegedly going to sell American women into sexual slavery.
Trump is a little unique in that he ran a reality TV show campaign... and the result is a little coarser than other administrations. I don't know what you expect when the president gets into Twitter wars with random people who upset him.
But, no. There is nothing unusual or unexpected happening here. There is nothing much different than the way our Democracy has always worked.
Trump is an unpopular president. He is being treated as unpopular presidents are generally treated. And his own willingness to jump into the mud with people who offend him makes it all the more fun.
If we don't like Democracy; where there is free speech and you can insult the people in power, then we should have stuck with Monarchy.