I am looking into space every night. Let's wait giving them credit for manned space flights until they launch someone into space.

don't expect those companies to launch people into space in the next year, though. china will be ahead for a while.

please do not confuse current capability with the sum of achievements. USA has put multiple men on the surface of the Moon. what of it if it doesn't have a man-rated launcher now? SLS is a jobs program that's years from launching. Atlas V? not rated. Delta IV? being phased out and also not rated. Falcon 9? not rated. Antares? not rated. New Glenn? announced last month, hardware doesn't exist. ITS? you know the drill.

tell me in what way the current US capacity of launching men into space is ahead of China's?

USA is strongly profit oriented. There is very little profit in launching man to the space, but it you will look at the number of satellites in the space: China: 218 US: 1341 http://www.n2yo.com/satellites/?c=&t=country

What does being 'rated' mean in this context, do the Chinese and American entities building spacecraft use uniform criteria for these ratings? Or is it simply what gets built and stamped that way by local varieties?

technically it's the stamps. practically, no stamps means nobody goes to space.