Theism, the resurrection etc are integral parts of Christianity,
That's certainly the case for Pauline Christianity - which almost every version of Christianity has been. However, if you tend to see Jesus mainly as a reformer and philosopher, it wouldn't be unreasonable to call oneself a Christian and yet not be a theist or believe in the resurrection. The ethical teachings of Christ are valid and attractive regardless of the position one holds concerning Jesus' divinity.
I think frankly, you are describing two different religions, not the range of belief in one religion. They might have the same founder and a common history, but they have fundamentally different views on the questions religion seeks to answer. It might be useful for an academic to refer to both of them as Christian due to said common history, but Pauline and philosophical Christianity are fundamentally different in a way that Protestantism and Catholicism aren't.
Quoting a paper I wrote last year, for academic purposes "I use 'Christian' to indicate things that a Pauline confessional theologian of average broadmindedness would consider Christian, and 'para-Christian' to indicate things that more or less plausibly claim to be Christian or that a methodologically secular historian or sociologist of religion would consider Christian but a Pauline confessional theologian wouldn’t necessarily."