what are the similarities between Ladakh and Kerala

The following points may help you:

a. Though both Kerala and Ladakh differ in terms of food, cultural habit of people. both the regions are an integral part of India.

b.  People in both regions also follow Buddhism, though majority in Ladakh, but in Kerala too there is a significant population of Buddhist followers.

c. There is also a Muslim population in both regions.

d. Both regions are also impacted by Chinese and Arab traders, thus they share common history.

e. We can see impact of both Chinese and Arab traders in their cultures.