Is there any evidence in Islam somehow from the derivation of Quran, Hadith, Aql, ijma that makes offensive jihad (i.e: Waging wars, participation in wars, doing wars) with others in ghayba since Iran is doing it I wanted to know if there is. Since I heard we should only stay in home and hide and only to defend ourselves.

Yes some scholars have allowed preemptive attack if it will save the Muslims or the oppressed. Sayed Khoie, Sayed Khomenie have allowed it. Even Sayed Sistani allowed the fighting of ISIS in Iraq.