Hi Chad! I know a little bit about passion flowers, so I will pass on what I know.
"Passiflora Incarnata" is hardy in Zones 5-9. The vines can grow anywhere from 15 to 30 feet, so will need support (fence, trellis) to grow. If winters are cold, the top growth will be killed back, but will return to growth in the spring.
They like partial to full sun, rich, well-drained soil, kept evenly moist. They will love you if you give them a regular mulching of compost!
Also, when planted, adding compost to the hole will be of great benefit.
The "green ball thing" you have is the fruit of the plant. You do not have to wait for it to dry. You can open it now, and lay the seeds out to dry on their own.
When you are wanting to plant the seeds, they need to be soaked for 12 hours in warm water, and then planted indoors. They have an extremely long germination period - many months, up to a year, so you will need to be patient. Don't let them dry out during this time, but also don't let them got over wet.
That's about all I can pass on about this beautiful plant. Hope it helps, and best of luck - remember - patience!