Is it recommended to take the names of martyrs of Karbala and infallibles along with the names of other momineens in namaze shab? Because in Majlis we often hear the last will of imam Hussain to his sister Zainab (s.a.) to remember him in salatul layl.

Yes you can take the name of shuhada e kerbala in namaz e shabb. But as we are ordered/recommended to pray for the forgiveness of momineen and martyrs of Kerbala doesn't need any maghfirat therefore we should dua for the increase of their darajaat. We also must not forget our close blood relatives and momineen