Before getting into some complaints about Christ’s teachings, Russell pauses to question the reliability of the New Testament documents themselves:
Historically it is quite doubtful whether Christ ever existed at all, and if He did we do not know anything about him
In fairness to Russell, this was cutting-edge (if biased) scholarship in his day. But, if that (somewhat) excuses him, it does not excuse those who, almost a century later, seem completely unaware of what has happened in scholarship since.
This is probably the place at which the New Atheists most blatantly refuse to submit to their own demand that we “follow the evidence where it leads”. I’ve encountered many people who, in the name of reason, quickly accept demonstrably false deconstruction theories about the Bible (such as references to Mithras) while rejecting the good scholarship in defense of it.
The fact that these kinds of conspiracy theories are still being presented on the internet (and television) as powerful evidence against Christianity, when even atheist historians agree that the basic facts of Christ’s life are historically reliable, shows that many are refusing to “follow the evidence where it leads”.
Less obviously false, but no less a contradiction of the aforementioned maxim, is the position that, in reaction to the fact that every non-Christian explanation of the New Testament has been thoroughly discredited, we should simply avoid answering the question “what explanation of the data is most reasonable?”. It is hard not to wonder whether this has anything to do with the fact that the answer would lead one to accept Christianity as true.
There are, in fact, some formidable arguments for Christianity based on the accepted facts of scholarship. These have yet to be answered, even by much more thoughtful people than the New Atheist writers; it is not at all likely that their position would be able to deal with being open-minded here.
The complexities of historical research are far too great for a single post, and there is no absolute proof of anything in this life. Still, as things stand with regard to New Testament scholarship, evidence has definitely left the atheist building where it was once assumed to dwell. Following the evidence where it leads means accepting that the resurrection of Christ is the most coherent explanation of the known facts.