Well, let's looks at the Kalama Sutta (and make people cringe)Whilst I can see where you are coming from, I'm not sure I agree. Someone like Blackmore would presumably be separated from the Buddha's perspective from the outset. What can enlightenment or awakening mean to the reductionist or eliminative materialist? What can the Buddha's spiritual effort and journey mean to them? There could surely be more profitable intercourse between any traditional religious position on earth and Buddhism than between it and the likes of Blackmore. Buddhism, for example, has interacted very positively with Taoism and Confucianism.
"Now, Kalamas, one who is a disciple of the noble ones his mind thus free from hostility, free from ill will, undefiled, & pure acquires four assurances in the here-&-now:
"'If there is a world after death, if there is the fruit of actions rightly & wrongly done, then this is the basis by which, with the break-up of the body, after death, I will reappear in a good destination, the heavenly world.' This is the first assurance he acquires.
"'But if there is no world after death, if there is no fruit of actions rightly & wrongly done, then here in the present life I look after myself with ease free from hostility, free from ill will, free from trouble.' This is the second assurance he acquires.
"'If evil is done through acting, still I have willed no evil for anyone. Having done no evil action, from where will suffering touch me?' This is the third assurance he acquires.
"'But if no evil is done through acting, then I can assume myself pure in both respects.' This is the fourth assurance he acquires.
"One who is a disciple of the noble ones his mind thus free from hostility, free from ill will, undefiled, & pure acquires these four assurances in the here-&-now."
"'If there is a world after death, if there is the fruit of actions rightly & wrongly done, then this is the basis by which, with the break-up of the body, after death, I will reappear in a good destination, the heavenly world.' This is the first assurance he acquires.
"'But if there is no world after death, if there is no fruit of actions rightly & wrongly done, then here in the present life I look after myself with ease free from hostility, free from ill will, free from trouble.' This is the second assurance he acquires.
"'If evil is done through acting, still I have willed no evil for anyone. Having done no evil action, from where will suffering touch me?' This is the third assurance he acquires.
"'But if no evil is done through acting, then I can assume myself pure in both respects.' This is the fourth assurance he acquires.
"One who is a disciple of the noble ones his mind thus free from hostility, free from ill will, undefiled, & pure acquires these four assurances in the here-&-now."
Conclusion: anyone can benefit from Buddha's teachings.