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okey for what i think you asking im pulling from a book called the study of witchcraft by daborah lipp

in chaptertwo she goes in to deapth about what the core of wicca is and discribes quite well several kinds of wicca takes and compares and contrast them

the three are stuctured traditionalism,radical empowerment, and gentle eclticism.

in all three the common ground seem to be polarity immanence nature magic and circles and quarters.

polarity refers to the god something you have now directly asked about. the key here is that the goddess and gods are not nessary to be seen as a focus of worish. they can be but they may also be simply symbolic as well. the one god and one godess are not the nessary focus. you can see them as ulitmatly one much like the holy trinity, duo-theise one god on godess, or poly theise meaning they beleive in multaple gods. but the beleif that there is one power with two parts is a common ground. lsort of like a negative and possative balance.

immanence - humans are the sacred entity. the forces within us ussly represented as the god/godess are the guilds. this is not another place but with in you.

nature - sacrednedd of the physical. throguh holiday the wheel being the most common because it is attuned but no not a wicca thing. and deties of nature. full moon ritualism also common based of this but again no not a wicca thing but the moon had a great effect on nature in fact or ecosystem would not work with out the moon making a large force and a focus for many when working ofr nartue but again no not a wicca thing just common.

magic - it is real. practice of magic however is optional.

circles and querters - this is the fondemental format of wicca rintual anything past this is up to the practitionor. this is the casting of a circle with the four quesrters representing the four elements. but even to go that far is grey area becasue some use five elements.

so that basicly it that no matter what view of wicca you look at your going to find and find very nessary or else you fall back into a more genral pegan space. those are the points of diffrenation.

not the tradtional also has lineage, initiations, degrees, manditory coven, manditory book of shadows, oath of secrecy, loyalty and brotherhood. this is probably what most people think of when they first start thinking about what wicca is but none of it is a nessary.

electicism is the other big one people are going to have influence with when they start studing. the extra parts in this inclued: adhereance to the rede and rule of three, solitary practice, no other solid rules past the rede.

the empowerment section is one that is rarely scene but was around more in the 70's and and focus mostly on blending wicca into every part of your life, values process over outcome, self decleration instead of initation becasue everyone already is but doesnt reconize it, and change. this idealism is mostly scene in movies and really doesnt exist in practice.

now to what i have said yes you are going to find stuff the wiccian wheel of the year. ussly this jsut means it and the holidays have been difined a little more in connection with the basics of wicca, polarity, nature, the circle and so one. but also becasue it blends the wheel of the years from diffrent places out wheel of the year has both the tradtional irish wheel and the solitics. so the wicca wheel of the year refers to a wicca friendly version and nothing more.

so in a way it is wiccian in nature but its not nessary in any matter to wicca either. its jsut the most common version.

does this clear up what your asking for anymore? or am i completely off the ball?

I did not know that. Good to know. Do you have a source on that that I can point others to?

I may be wrong. but I think that Wicca is the religion, where as witchcraft is the practice. to elaborate, witchcraft is the performance of "rituals" to fulfill an intent. Bear in mind these are very rudimentary definitions not the final laws of the magic police. Wicca, as I understand it (I tend to refer to my own beliefs as Pagan now so less people try to contest it) Is the actual deities, the specific rituals on the moons and sabats, that are written and up kept within a specific coven. But again, this is not the ultimate written code that was handed down from the Delphic oracle. but I think that is what the differance you are looking for is, sorry if its not.

Dianics were Wiccan, but when they droped worship of the God in favor of the Goddess they ceased to be Wiccan. They haven't officially called themselves Wiccan in 20 or so years. Pretty sure they refer to themselves as Dianic Witches and the practice as Dianic Witchcraft. The God and the Goddess are part of the core, when the core is changed what is being practiced ceases to be Wiccan.