I practice Hedgecraft but it is not a complete separate entity from my green path either as I do practice a path that melds both hedge and green witchraft. It can be confused with Green Witchcraft because on some level there are similarities, as there is with it being somewhat shamanic in nature. There does seem to be confusion on what hedgecraft actually is and far too much emphasis on just the 'crossing' part. There are some hedgewitches on here who will probably disagree with my interpretation or how I practice but I find it an individual path. I have to say right up, that the books by Rae Beth and Silver Ravenwolf don't represent hedgecraft as I understand it, their take, to my mind, is completely Wiccan.
I work with entheogenic herbs, mostly mandrake and wormwood but I am now beginning to work with henbane, belladonna and datura (have my first datura seedling come up - so excited) - and so part of my green path comes into it because I try to grow my own herbs, especially entheogenic herbs because, unless I personally know the person they come from, I trust my own self in the garden more. Hedgecraft is a Green Path, most hedge witches I know (but not all) tend to prefer to grow their own herbs and have a strong connection with the Earth, are animistic and tend to embrace spirit work as this is a larger part of it. Some work with bone, some with bane, some with both. Some are excellent at divination and use various methods to do so. I journey, so far only using myself or the added assistance of flying ointment, I am considering drumming as a method also but I've yet to try it.
The thing with hedgecraft is there is no dogma, no tenents, it is much like traditional witchcraft in the sense of that each witch will build her own path taking from traditional lore and ideas, it's quite solitary and individual, there are no Deities per se, but again, that doesn't mean that a hedge witch will necessarily exclude Deity from her practice. Personally Deity is not part of my path. I think that hedgecraft is also quite a wild path, you learn from nature, She teaches you both the wonderful and the hard lessons. Workings by hedge witches are very organic, very natural, very simple.
My personal ethos is personal responsibility. By that I simply mean that if I take a particular path, I accept there could be consequences but I don't believe in karma or threefold nonsense, know thyself is important, you can't begin to traverse other realms and know them without knowing your own self first. I won't discuss my use and recipes of enthenogenic herbs publicly outside of saying I use them, because they're dangerous herbs and it would be irresponsible of me to do so, this you will find the other hedge witches on the forum will likely agree with. It survives today by the people who learn from lore and incorporate that into their path, as I mentioned, it is not dissimilar from traditional witchcraft in the context it was practiced then and now, it is a revisiting of old traditions and bringing them into a modern context although to a degree some of us still practice the Craft without modern context and tend to practice some of our path as it was then.
The Hedge witch path is not one that can be defined by one explanation, but if I was to attempt to sum it up I would say the hedgewitch is almost the Cunningwoman or Wise Woman of old, well versed in herblore and the spirit realms with a vast knowledge of both. She is good at divination, growing herbs and gardening, knowing the natural world around her and understanding that world for all its polarity. She can cross the veil to divine answers to questions, visit other realms, work with ancestors and perform healings. She'll curse, hex, heal is mostly solitary and prefers to work alone for the majority of her Craft.
This is my take and a brief outline of my own path as it relates to hedge craft, anyone is quite free to disagree with me and add their own description of how they practice.