As a Westerner, I don't have any negative feelings towards secular Buddhism at all. I've practiced meditation with many SBs and they've been incredibly diligent and very helpful. Believing in rebirth solely on another's authority is not in line with the Buddha's teaching of self-examination. However, it's also a little presumptuous to throw out such an important aspect of Buddhism just because it doesn't immediately jive with your cultural background. I think we need both skepticism and humility in this matter; we can't shut off our brains if something about the teachings is bothering us but neither can we expect to immediately understand every concept without a lot of study. I think secular Buddhism helps prevent the entrenchment of social and cultural forces into the pure Dhamma but it can also lead to a very...arrogant view where anything not immediately testable or visible is thrown out as a fairy tale. As always in Buddhism, I think a middle path is best
Gain and loss, status and disgrace,
censure and praise, pleasure and pain:
these conditions among human beings are inconstant,
impermanent, subject to change.
Knowing this, the wise person, mindful,
ponders these changing conditions.
Desirable things don’t charm the mind,
undesirable ones bring no resistance.
His welcoming and rebelling are scattered,
gone to their end,
do not exist.
- Lokavipatti Sutta