I would say we probably have about the same view on this stuff.
My view is the more mundane infinities science run across they can easily identify the real world restrictions that will prevent it. In much of the spacetime discussion we don't know the problem well enough to know the restrictions but that doesn't mean there are no restrictions.
The telling point to me is we don't waste time arguing over infinite voltage, yet some sections of science waste time arguing over singularities. I think they missed the lesson that most theory predictions assume ideal unrealistic conditions in the real world your answer will be approximated
If it's any consolation we are not alone
http://www.askamathematician.com/2012/09/q-what-are-singularities-do-they-exist-in-nature/Just our practicality doesn't provide stories for glossy science magazines or web sites.
