There is no such difficulty in bridging ancient science and modern science. The difficult process is more to spread the message of ancient science in the world. Since there is a difficulty in processing the information from both sides, the East and the West, the bridging process is getting delayed.
This difficulty came into existence because of the following factors: The identification of modern science took place only between the 6th and 7th century. It can be traced to Europe beginning with its separation from religion during the lifetime of Copernicus (1473-1543AD) and Aristotle (384 BC- 322 BC). After around 2000 years Copernicus took the non-religious approach to knowledge that is now broadly known as 'modern science'. This development stands in stark contrast to the path of ancient science in India that dates back 10, 000 years wherein ancient science was well integrated within the cultural and spiritual context. Unlike modern science ancient science has not been separated from religion.
Even if we do seperate religion, spirituality cannot be separated from the holistic ancient science as consciousness is the biggest uncertainity that will remain as a part of ancient science.