Does the United States still believe today that it has a special destiny in the world?

Different people think differently.

I think that you may be confusing Manifest Destiny with American exceptionalism.

Manifest Destiny is the idea that the US should include all of North America (it was popular during the 1700-1800's when the Canadian territory was up for grabs).

American Exceptionalism is the idea that it is America's purpose in the world to protect others and project democracy and American ideas. I think that this is a very real and current belief, it is popular as it places America above other nations on intellectual and moral levels (in their eyes). This is the sort of policy that has lead to American interventions all over the place (Vietnam, Lybia, Iraq, the Balkans etc.)

Yes but it`s not the entire population that think like that,the government are using this philosophical term only for manipulation and control of their acts,they use this to cover all,and of course people start to believe in this.They begen to act more agresive and violent only couse they have some destiny in the world. Similar to this you can find in the past of the world history for be more exactly i mean the second reich,the german`s idea or to be more specific Hitler`s idea that they come from a pure rase of human that they are the pure human caind,the smartes and stronges perople, if they enter in a relatinship with the inferior rase as greek,negers or jewish they start to be less smart an more vulnerable for deseace and finally death.I know that there are many countries that are against this idea from the USA and one of them is Cuba i can tell you that they as people are great and funny and really warm but their government it`s against of this ideologic.

It depends on who you ask. Decades ago, before human interaction (especially commerce) was not so dependent on technology, it was easier to defend this claim. Nations were separated geographically, and that separation proved to be a difficult obstacle to overcome to reach a higher level of interconnectedness with one another. Not anymore. With a push of a button, we can video-chat with people on the other side of the globe now; companies are outsourcing work to other countries and abiding by the labor laws of those countries to run their businesses; European nations to an extent diluted their sense of nationalism by forming the European Union.

Bottom line: to answer your question, I'm sure there are many in high positions of power in the United States that will say "yes" to your question, and will site how the US is still the financial and cultural epicenter of the world. As a result, it still has much to do in order to secure that position and introduce the concept of democracy to parts of the world where it doesn't exist yet. On the other hand, there are many who will say "no" to your question, citing the interconnectedness of nation-states thanks to technological advancements in business and trade, as well as a deterioration of America's power over the past decade (with the lackluster economy and a crumbling infrastructure domestically).

Yes but everyone has a different view of were the U.S. is heading and it isn't quite as the Manifest Destiny belief.

Only the Conservatives and Libertarians.