Are psychic phenomena illusory?

How do you prove the existence of psychic phenomena to people:

1. that have never directly encountered a realistic example of it?
2. that doubt it is a real thing, and thus, never put themselves in a position to properly analyze it?
3. when it is simply difficult to nail down the physical processes leading to it?

Of course psychic phenomena could be illusory.  It would be ridiculous for me to argue against that possibility.  However, I've had enough experiences to know that something is really happening in those moments.

Furthermore, I believe the people that experience psychic phenomena are not all created equal.  Some have extraordinary gifts.  Others, are not as gifted but still have real (although probably more vague) experiences.  There are also those people that are charlatans, using illusion and chicanery to appear they are gifted when they are not.  Heck I've met one person in particular, who I think had some level of giftedness (although I'd still question that), but she was negative and lazy.  She certainly was incorrect about my life when she talked to me.

Aside from trying to determine who really experiences psychic phenomena from those that don't, there seems to be a list of observations that also contribute to the doubt and confusion.  

1. Psychic phenomena is difficult to isolate.  Many times it seems to happen to people out of the corner of their eye, or in a moment they would least expect it to happen.  On another note, how could science work to understand something this fleeting?  Without knowing exactly what you are studying, it becomes easier to alleviate the confusion by assuming the phenomena doesn't exist.

2. Being too skeptical may be an obstacle to having these kinds of experiences.  To put it another way, does our day-to-day disposition have an impact on whether we experience psychic phenomena?  

It seems to me that the people that experience psychic phenomena are able to naturally put themselves in a position of openness through relaxation techniques.  In reality, these people are primarily (and maybe only) seeking the peace and spiritual feelings associated with these techniques.  Therefore, psychic phenomena only seems to be a residual aspect of seeking spirituality.  

It seems that there is also something in conscious experience that makes the more scientific/analytical types disconnected, less spiritual (often more religious), and more distant. It's an oddity of spiritual experience that really needs a remedy.  To me, the very people that could give a proper analysis of the psychic phenomena landscape are the ones that are least capable of experiencing it at all.

3. The last observation I want to address has to do with the confidence we have in the language we are already using to describe psychic phenomena.
I would argue that since we do not have the experience pinned down in a way that is acceptable for more serious discourse, we need to be careful about attributing language, social conditions of the past, and other assumptions that would derail the potential progress of understanding this elusive issue altogether.