First off, you are not a Catholic. Why do you perceive of priestly celibacy as a "problem"? There are many reasons, both practical and theological, why the Church insists on clerical celibacy. It is a wise practice that was gradually codified in light of centuries of accumulated knowledge and experience. Early on, it became obvious to many bishops that a married priesthood doesnt work and that the Church needs men who are willing to embrace a higher spiritual state. Starting with the Spanish Council of Elvira in 305, regional churches began to ask of the clergy what many priests had already spontaneously chosen. The early Church FathersTertullian, Augustine, Ambrose, Jerome, and Hilarywrote in favor of clerical celibacy, and at the end of the Dark Ages, great reforming popes like Leo IX and Gregory VII insisted that henceforth the priesthood would be celibate. This decision greatly strengthened the Church and still does so today.
There is no clear verse in the Bible that requires it.
Admittedly, theres no hint in the New Testament of celibacy being mandatory either among the apostles or those they ordained. But we have ample warrant in the words of Christ and the writings of Paul that celibacy is a higher calling than marriage. Christ Himself was celibate, and the Incarnation took place, so to speak, in the context of Mary and Josephs abstention from sexual relations. Pope Benedict XVI has written eloquently about how Marys virginity is really a condition of spiritual fruitfulness. At one point, the disciples ask Christ if it is expedient not to marry? He replies that not all can accept this teaching; but those to whom it has been given. For there are eunuchs who were born so...and there are eunuchs who have made themselves so for the sake of the kingdom of heaven. Let him accept it who can (Mt 19:10-12).
As Christopher West points out, Christs use of the word eunuch must have profoundly shocked his Jewish listeners. Under the Old Covenant, priests were enjoined to marry and have children who would become priests. Childlessness was seen as a curse, and the idea of a descendant of Abraham opting to be a eunuch was unthinkable. But the celibate lives of Mary and Joseph, who brought the Old Covenant to perfection, speak of a new dimension of self-giving. West writes that their celibacy, in effect, brings about the most fruitful union in the cosmosthe union of the human and divine natures in the person of Christ. All those who live an authentic celibate vocation participate in some way in this new super-abounding spiritual fruitfulness.
There has always been a deep human intuition that celibacy brings great spiritual gifts, a heightened sensitivity to divine things. Even under the Old Covenant, a married priest had to observe continence while he served in the Templein other words, when he was acting as priest. Moses asked that the Jews abstain from conjugal sex while he ascended Mount Sinai, and the prophet Jeremiah was forbidden by God to take a wife in order that he might fulfill his ministry. And although the apostles and their successors had freedom of choice in this matterat least until the fourth centurya large number of the clergy during this period did choose celibacy. There is a tradition that after their calling by Christ, those apostles who were married lived as though they were not. St. Jerome speaks of a general custom in the late fourth century when he declares that clerics, even though they may have wives, cease to be husbands. This is not so exotic as it sounds; in the 20th century the great French theologian Jacques Maritain and his wife Raissa, a Jewish convert, had a marriage blanc for the sake of their spiritual apostleship.
The case at hand is, why does the catholic church allow the very thing it forbids.
Again, let me point out that married men are accepted into the priesthood in the Eastern Catholic Churches, though even many of them choose priestly celibacy.
" But the celibate lives of Mary and Joseph"
The Celibate lives of Mary and Joseph must have been a surprise to Jesus' numbeous siblings, James notable among them.
It is believed that Jesus also had 3 sisters and at least 2 brothers, none of them were from celibate parents.