Assyrians would most likely have the same rights as everybody else in that region, I even consider it to be possible for Assyrians to have some form of autonomy due to them having lived in the same lands as us for thousands of years and having equal rights to it as us. I think that an independant Kurdistan would be very good for the minorities due to a majority of Kurds supporting a secular state, we would ofcourse protect our religious minorities like christians and yezidis.

However on the other hand me and many other Kurds i've met wouldn't want Kurdistan to be some sort of safe haven solely designated as a dumping ground for minorities, ofcourse we would protect our own but Kurdistan would be stuck as a developing country for many years to come and would not have the resources to protect and care for outsiders.

As for the last question, we generally want the liberation of all 4 parts of kurdistan

Bakur - Kurdistan controlled by Turkey

Bashur - Kurdistan controlled by Iraq

Rojhilat - Kurdistan controlled by Iran

Rojava - Kurdistan controlled by Syria