There will be catastrophic climate changes. Let's look to see where everything ends up. I found this picture, I think it's accurate but I'm not sure, I will assume that it is for a moment.
At first I thought that perhaps China would end up being better off than Rome, if Rome got landlocked and China remained on the east coast. But from this map, it looks like eastern China will end up in the arctic circle, which won't be too good for them. Siberia and what would later become Mongolia haven't changed too much, they might still have some good potential as nomadic horsemen in northern steppes. Parts of what were once Siberia will have a more moderate climate and access to the ocean. The nomadic horse steppe lifestyle might allow those people to survive the climate changes and the more moderate weather they encounter might allow then to form a new successful civilization in north western Pangea.
Northern Scandinavia might fair better than in reality, since they have moved quite a bit further south and have access to a large sea. Much of Rome ends up in the middle eastern coast of the continent. They are probably going to be warmer than in reality, maybe even tropical rain forest. Rome might be able to survive this.
Persia is well positioned I think, with ocean access and temperate weather. There would be two Persian Empires, one north and one south.
Central of South American tribes might do alright, especially those on the western coasts, where the weather will be more moderate.
We have a new major land mass where South America Joins Africa. In that region, there will be very continental weather patterns, hot summers and colder winters. That could lead to a big desert where west Africa meets the Americas. There may also be monsoons in that southern half of Pangea.
India might be well situated too, though the side facing the ocean has changed.
Australia and especially New Zealand are in trouble considering how far south they've moved.
In any case, most civilizations are going to suffer even if their climate doesn't become objectively worse. Just a change in temperatures, rain patterns, seasonal variation, and access to trade is going to have a pretty negative effect on communities that depend on a relatively stable climate.