In the past the compelling argument in favor of presently celibacy was purely economic and not in terms of supporting his family either. The Church had become the custodian of real land wealth in a time that this was the only source of wealth. Of course priests would work to alienate such assets to their children.
The central decision took place in the time i recall of Gregory the Great.
In the meantime the protestant churches have easily demonstrated the viability of a priestly family in terms of the modern era. So it can be done. Add in ordination of female priests as well and boots on the ground will never be a problem. All this should also sharply lower the real risk of aberrant sexuality among frustrated priests.