This is like you can't claim you're a Catholic if you don't believe in Apostle's Creed and you can't be a Jew if you don't believe in Shema.
Wicca is a religion like Catholicism and Judaism and like every other religion in the world, your "membership label" in the religion is established by adhering to the beliefs and laws (which is the Wiccan Rede in Wicca) and practices (Wiccan Rites) of the religion. You can't reject belief in the divinity of Jesus Christ and still call yourself a Christian. And so too with Wicca. You can't claim you are a Wiccan yet can't totally reject some Wiccan values, beliefs, principles and moral codes which includes all the words in the Rede.
In my humble opinion, one can't choose what is to believe what is not to believe when you're in a religion like Wicca. I also don't think one can be 'partly Wiccan' because one only picks some parts in the Rede or some parts in some Wiccan principles or rites. Why? The same reason, I can't be partly married. It's like on Monday, Wednesday and Friday I'll be married. And on Tuesday, Thursday and Saturday, I'll be single. It's really absurd because by definition, commitment is whole. We don't give only half of our hearts to anything that we care and love about. So too, one will never know the truth of the Rede and the beauty of Wicca if in his/her heart, one think he/she is only 'partly Wiccan.'
Moreover, I understand that most Wiccans nowadays don't make these kinds of commitments anymore. They absorb the values and ideas they have heard or read, but there are no real commitments. Many Wiccans today are experimenting. They kept these particular phrases for instance:
Cast the circle thrice about,
To keep the evil spirits out.
This means that when they do magick, they cast a circle around themselves. They do this three times because the number three stands for the three phases of The Lord and The Lady.
When the Wheel begins a turn,
Let the Beltane fires burn
When the Wheel hath turned to Yule,
Light the log and let Pan rule.
They agree with this since they're observing both Beltane, the spring sabbath and Yule the winter one, that both sit at opposite ends of the wheel of the year.
But these parts of the Rede for example:
Mind the threefold law you should,
Three times bad and three times good.
They don't believe in this because they don't believe in the Threefold Law, karma and law of compensation.
Where the rippling waters flow,
Cast a stone and truth you'll know.
They don't believe that their magickal actions would spread, like the ripples caused by a stone cast on the water, affecting everyone and everything around since they do practice malefic magick, sorcery and hexcraft!
See, that doesn't sound very Wiccan at all. The first verse of the Rede is very clear to say that:
Bide the Wiccan Law you must,
In perfect love and perfect trust.
Which means in my understanding that Wiccans MUST abide and respect the laws of Wicca lovingly and with perfect trust.
My fiancee for instance who once identified herself for many many years had realized this and had searched for truth and questioned her beliefs because of this fact.
If one wanted a label in my opinion -- Wiccan, Druid, Christian, Jew, Hindu, Taoist, Hermetic or Encohian, one should wanted all of it. If you're a psychologist or a writer or a mother, a wife or whatever. I believe you're not 'partly' any of these identities. Take the label with wholeness. One should be whole Wiccan abiding all its laws.
That being said, if you don't really agree with some of its law and principle then don't put labels to yourself anymore OR there's a term called eclectic with and syncretist pagan, I think it would perfectly suit for you. Therefore, one can still believe in some parts of the Rede and at the same practice other sorts of magick like maleficium and have a different view that the threefold law is not a strict metaphysical scale. And yes, eclectism and syncretism have contradicting and conflicting opinions, customs and practices all under the same roof. But since you're not bound to any religious law, you can love and accept every beliefs even if they seem very contradicting. Realizing this expands our boundaries.