I'm not gonna comment on when the harpazo rapture is because I know I'll open up a hornets nest, however, If folks got out of the Left Behind series and into the Word, they will fair better when the world goes to the pot. And it looks like it may be headed that way soon!
I have always understood and believed that God would make a way of escape for those who are His but not necessarily via rapture. I believe that my Lord is capable of seeing me through what is to come on this earth.
I am no biblical scholar but I pray for His Spirit to reveal these things to me that I don't understand. I am always learning. The rapture is one of those doctrines that confounds me. I haven't been convinved or convicted that the doctrine is sound yet, I won't hastily discard the teachings of those better learned than I am. I simply do my best to use discernment when I listen to the teachings of any man.
As for Joyce Meyers, I have found that she is very common sensical in her teachings. As a woman, I find her teachings to be beneficial in my everyday life. For example, I have a problem with my mouth. I do not have my tongue under control. She has had some very practical advice in that area that has helped me. Lining her practical teachings up with what the Word says helped me make sense of my lack of dicipline in that area and helped me reconcile my problem biblically. I am still working on it though!