I think Richard Dawkins is making the point that one should not let one's beliefs about the world, morality, and humanity be determined by one's culture or upbringing in a particular part of the world, if one is pursuing the truth. (Then he further implies that personal feelings, private revelations, declarations, and the like are also insufficient grounds for rational belief.) Dawkins thinks that beliefs must be connected to such things as evidence and rational arguments. It is an excellent point in my opinion.
It also fits with the Buddha's teaching that "faith" (saddha) should be "supported by reasons" rather than "groundless" belief (as in MN 47 and MN 95, for example). "Faith" at all stages of the Path and in various Pali texts is often connected with observation and experience. Saddha is more like confidence than blind belief. (I am currently studying the meaning of saddha in the Theravada tradition and compiling various relevant passages in Pali texts and monastic writings.) The Buddha tended to place greater emphasis on "seeing and knowing," "direct knowledge," and so forth. He never said, "Just believe," but he did say, "Come and see."
“…So Bharadvaja, it seems that among the Brahmins there is not even a single brahmin who says thus: ‘I know this, I see this’…does not the faith of the brahmins turn out to be groundless [amulika]?.... There are five things, Bharadvaja, that may turn out in two different ways here and now. What five? Faith, approval, oral tradition, reasoned cogitation, and reflective acceptance of a view… Now something may be fully accepted out of faith, yet it may be empty, hollow, and false…” Majjhima Nikaya 95.13-14 (The Canki Sutta)
Sīlaṃ balaṃ appaṭimaṃ.
Virtue is a matchless power.
Virtue is the greatest weapon.
Virtue is the best adornment.
Virtue is a wonderful armor.
etaṃ buddhāna sāsanaṃ.
Refraining from all wrong-doing,
Undertaking the good,
Purifying the mind,
This is the teaching of the buddhas.
Dhammapada v. 183/14.5