Your third sentence is almost correct, you're just missing an a:
Would Chinese people love tradition if China were not a communist country?
The above is the correct sentence. I'm not sure what you mean by "I changed three sentences"; only #3 above is close to correct when speaking of the people who currently live in China. If you are also trying to present a past or future conditional, you could use either of these sentences:
Would Chinese people have loved tradition if China had not been a communist country?
This only makes sense if you are speaking from a future point where China is no longer a communist country. For example, now that we live in a future where the US and UK are separate countries, we can present a past conditional like:
If King George hadn't raised taxes, would the Revolutionary War have started?
You can also present a future conditional, speculating on what would happen if China stops being a communist country in the future:
Would Chinese people still love tradition if China were no longer a communist country?
Note that the common factor in all these conditionals is that they use would.