You are right about that Mbappe can adapt to Real Madrid's playing style really easily. But I don't think that we will see this huge transfer happening in this summer at least. Because PSG seem really decisive about keeping him at the club for more time.
I also thought it would be hard to poach Mbappe from PSG to Real, the owners of PSG are very rich and if PSG are not going to let Mbappe go, i don't think even Real Madrid can do anything about it.
Besides，i don't think Mbappe can adapt to Real Madrid's playing style easily，who knows the future，did Zidane not think Hazard was suitable for Real Madrid before?