Something that gets is that people complain about the giant Liberty Angel or whatever it's called, but not about one of the Angels in Blink
managing to cross a busy road next to a police office in a city and hide outside the window in broad daylight, just because Sally blinked? After that, and the fact that Angels can move about so easily without being seen by birds/insects/other random creatures, the giant Liberty Angel isn't such a stretch for me anymore. Also, I'm not sure that it was the actual Statue of Liberty, seeing as the actual thing most certainly isn't made of stone, it's probably just a mock thing made by the Angels, although that was never mentioned in the episode. Really should've been a two parter.
Still, despite the episode's flaws, it was able to suspend my disbelief, and I thoroughly enjoyed it. :3