Steppe invasions are a historical fact, almost a pattern, there is not one recorded case the groups acted as you claim.
They rode in and took the land and the people with it as their possessions, that is the way of the steppe and is common to Huns, Hungarians, Mongols and anyone that came before them.
You sure? I advise you to open some history books and read trough them and at best take some recent studies by too.
Indo Europeans pretty much came like thrid world immigrants bringing with them diseases that didn't existed before and killed of a large part of the local population, confirmed facts by recent studies. When the Iranics came to the Iranian plateau they were local nomadic tribes that had to build a confederation with the Mannaeans to build the Median empire to fight off the REAL barbaric Assyrians. Mycenaeans are described as dirty nomads who had not much knowledge of civilization and took over with use of their population size. What kind of new invention did Indo Europeans brought to Europe or West Asia that didn't existed already? Farming/Herding? Pottery? Warfare? War wagons/Charriots?(one of the most used arguments but in fact newer archeological findings, post Anthony's book, have revealed Wagons and Horses most likely already existed by Late Neolithic throughout the world).
What made the Indo Europeans take the upper hand is exactly how todays immigration works. A continuous immigration of people from poor lands overpopulating the local farming groups. And as usual as it is with patrichal "third world immigrants" the immigration of the patriachal Indo Europeans was male heavier. In Patrichal societies the males are more mobile while the females often stay at home. Pretty typical of how many modern Afghan immigrants are, at least here in Germany.
In like 200 years when the European society stops making enough children, and the Afghan and Morrocan etc refugee from your neighborhood have taken the upper hand by reproducing more with even local females, because as written above most of third world immigration is male based, how do you think it will appear to the future humans, if we left no informations behind? Will they think "well the European locals just stopped making enough children and the immigrants simply overpopulated by having more". Or will they say, "well the immigrants were so advanced and a male driven conquest that they overrun the local European cultures and took their females as prey".
Would you agree with the second scenario? Are the thrid world immigrants in anyway more advanced to you, beside maybe still having the will to reproduce.
Think about it a second. It isn't always the way as it appears at first look. Many things actually point to the fact that the Indo Europeans were no different to male third world immigrants.
1. They had absolutely no or not enough technical advantage, they were simply nomads with no knowledge of large warfare nor knowledge of civilization.
2. There is confirmation that they brought diseases with them(pretty much how Balkan Roma immigrants brought Variola back to Germany the last years).
3. They were mostly male driven but yet there is no sign of Indo Europeans "conquering" the locals in any part of this world. Everywhere it looks much more like they integrated and merged into the local cultures. Look at Bellbeaker who look simply like Neolithic farmers + Bronze Age Indo Europeans. The same with Corded Ware, the same with Iranic tribes. Absolutely nowhere, where they go did they stay pure but mixed into the local cultures instantly and adopted to them. While we see from the advanced Neolithic farmers when they went to Europe, they stayed isolated and created their own cultures for pretty much thousands of years, rarely mixing with the local Hunters and Gatherers.
About the Huns, Mongols and Hungarians. What did the Hungarians "conquer" beside this little portion of Europe I may ask? The Huns used the momentum well, created by the wars between the Romans- Parthians and Romans-Sassanids. Yet even though the Sassanids had to pretty much fight on three fronts, they freakn beat the Huns in a destroying battle, which actually forced them to move deeper into the European Steppes. If it wasn't for the wars with the Romans the Parthians and Sassanids had pretty much Central Asia and the Huns under control. Later when the Sassanid empire crumbled it was easy for Mongols to conquer, yet they never stayed for too long at any place. But those Iron Age stories have nothing to do with the Indo European expansion during the Bronze Age.