If they are "post-Soviet" then China is "post-Mongol" as historical maps show a clear shift that occurred under the Yuan dynasty which was as pivotal for China's history as Qin was. And arguably Mongols had greater impact on China than Soviet and Russia occupation had on Baltic states.
First thing first, replace "Mongol" with Yuan, then you will be 100% right about China. However, we don't have problem of being the successor state of Yuan dynasty, nor are we offended by being reminded so. We regard Yuan as a legitimate Chinese dynasty. This is the fundamental difference between you and the Chinese. BTW, just in case you may argue for propaganda, it is NOT PRC who said Yuan is China, it was the Ming dynasty which replaced Yuan put Kublai in the imperial shrine for worship. You see, we Chinese don't see the state and people through a racial lens.
Although you have rightly pointed out that Yuan dynasty had a great impact on the Chinese history, you are wrong in saying "Mongol impact on China". Just so you know, there are more than twice Mongolians being in the Chinese family than Mongolians anywhere else. How much does China has impact on the Mongolian population do you think? It is nothing to be shamed of, or to hate about.
On the other hand, you Europeans are on the totally opposite side. You seem to know a lot of Chinese history, but you lack the very fundamental knowledge about China which is "we are not you". It is ignorant to project your feeling and way of thinking on the Chinese.