This may be somewhat of a long read, but I hope you read it as it basically summarizes a large portion of what I've been thinking about the last few weeks. But it's most definitely not required reading in order to answer the questions posed by the thread title.
I had two ideas for threads, but to me at least, the two are related, but it may not be the same for everybody.
Basically, the way I see it, Ne is taking in information from the world, and then connecting the dots in different ways to come to different conclusions. A conclusion that we like can turn into an idea.
It seems that we have two types of ENTPs, those who have built their life around their ideas, and those who are working typical jobs despite their ideas. Those in the latter type all seem to want to get out of their current situation and focus on their ideas. I'm the former.
So, for myself I used my Ne when starting my business, then when my business didn't make enough money, I used my Ne again to evolve the business. Now I'm using it to bring on new products to add to my business' arsenal in order to give it an edge over the competition.
I'm lucky in the sense that I had an opportunity to build something based around my vision, a vision that continues to evolve as I learn more and become wiser. The best decision I ever made was to take advantage of that opportunity. In my case, my actions and my vision are in sync, in that all of my actions are working towards achieving my vision.
I rarely write down anything about my vision due to it constantly evolving and knowing that by the time I have the means for the next step it will probably have changed quite a bit again. But I do know this. Most of us seems to think our life matters. The truth is that very few peoples' lives matter other than that another number adding to our species' success.
I also know that my life at this moment doesn't matter. This bothers me. I want to matter to the world. I want to reach a point where my being alive is a lot better for the world than my not being alive. In order to do that I must create meaning.
At this point in time my vision is to continue on in the energy efficiency industry. I want to kill the oil and gas companies by taking clean energies mainstream. It may sound egotistical to think that it should be me who does it, but I don't hear of too many other people who think their up to the task and willing to take actions towards achieving it.
My second vision is to create a private research institution to study areas which are somewhat neglected by scientists. Especially aging. I want to live longer than my generations' current lifespan of 90 years. At least 150 years, hopefully significantly more.
My third vision is to invest in other businesses who are out to make a difference in the world. I will never invest in a company who will leave the world worse off than it found it. Despite how much money it will make.
But behind all of this is my Ne. These are visions which, in my opinion, requires an ENTP to achieve. If anyone, it's an ENTP to say "it's possible" when everyone else thinks it's not.