Nothing that should one surprise ..
You mean if one is drunk in the delusions and beliefs of godless so called science, and has hammered all evidences into that paradigm in his head? Or do you mean that man was on Pangaea is no surprise...or?
The movement of the continents, as measured today, is about one inch a year, depending which move you take it is more or less than that. The movements is irregular (remember the earthquake when Japan moved almost three yards?), but the average has always be low in the last 3000 years, according to any known historical record.
If the movement of continents when they rapidly separated was for example, say, 40 - 400 MPH how would some small residual movement in the modern age matter?
I don't know how you date the tower of Babel, but unless we are talking about millions of years a movement from pangaea to present positions would be a very fast movement in geological terms.
Here is how I date it. The flood was something like 4400 years ago (rounding it off) and Peleg was born a little over a century later probably. It is said that Peleg was 5 years old at the time of the tower of Babel.It is also noted that the big division on earth was in his lifetime. I suspect that a change in nature happened at the time of Babel. After that change man lived a few centuries instead of almost 10 centuries. Then in several generations life spans fell to present levels. Spirits could no longer live on earth among men openly and naturally. Plants could no longer grow very fast, and creatures could no longer adapt/evolve very rapidly. Etc etc. This is also when radioactive decay as we know it today likely began!
In real time, this is when I believe the supercontinent separated. In science time, the flood was probably some 70 million or so years ago. I had a thread recently on radioactive dating, and no one could really defend it as something that existed in the past in the thread..
Such a movement would be accompanied with much more geological activities (earthquakes, volcanoes etc.). The heating of the surface from within would be much greater (where that much heat came from, is a question you have to answer), which would result in much warmer oceans, and consequently much more water in the atmosphere. Whether the atmosphere would be much warmer is a difficult question, because some volcanoes predominantly issue greenhouse gases, while other issue gases that reduce the amount of sunlight that reaches the earths surface (remember the cooling effect from the el Chichon eruption in the 1980?), and dust also plays a role that should be considered in any calculation.
Your scenario is based on the laws and forces existing that we have now. Think about it. There was a lot of mountains pushed up, and volcanic activity etc etc. This also caused climate changes, especially when we see for example, some area that was formerly warm - now up in the arctic suddenly, and that sort of thing. Another thing to factor in is the melting points and consistency and make up of rocks and materials in that different nature in the past. We likely would not need so much volcanoes as we might imagine now, to get a bunch of molten rock! (Deccan flats comes to mind). Nor would we even have the friction caused heat in rocks from rapid movement we would now have that would possibly steam life to death. I suspect that most of the actual volcanic activity resulted in the final stage of the rapid move of continents where we were decidedly then in the present nature. In fact I suspect that most of that heat and molten rock and etc we know about in hot spots and areas deep down probably came about at this time.
But it is rather clear that the earth in a time with that much continental moving would be a world hard to live in. I can't remember any record of such hard times, so it is obvious that the continent didn't move that fast.
No, God was in control, and it was the creator overseeing the operation. Remember also that people at that same time had just lost the ability to communicate to each other through speech!!!!!! It was some years later apparently (Egypt became a civilization about 60 years after Babel for example) that man even started to develop written language and most of that was still picture words!!!