Final answer:
The Kurds are fighting with Iraq, Iran, Turkey, and Syria over the right to establish Kurdistan, while India and Pakistan are in conflict over the region of Kashmir.
Step-by-step explanation:
The two main groups that are currently fighting over the right to a region in Southwest Asia are the Kurds and various national governments including Iraq, Iran, Turkey, and Syria. Kurdish nationalists seek the establishment of a nation-state called Kurdistan, a cause that has been met with violent repression by the mentioned governments.
On the other hand, the conflict between India and Pakistan over the region of Kashmir remains a significant source of contention, with historical roots dating back to the partition of British India in 1947, which imposed a border that did not align with the cultural and religious identities of the local population.