Of course it doesn't. For one thing, the Bible does not make the assumption that the only way you can "serve God" is by being a member of the priesthood. Everybody is called to holiness, not just the clergy.
The Church considers Marriage to be a Sacramental vocation. Married people are not only serving God, they are a sacred image the Church: we call the family an "ecclesiola," a little church. There's a profound equality here.
"However, the RCC goes against the Bible, I guess because of that valued 'tradition' the RCC uses to justify its non-Biblical teachings."
Once again, an argument misdirected because of ignoirance. The Church does not teach that celibacy is intrinsically required for the priesthood. You seem to be under the impression that it does.
The validity of conferring Holy Orders on married men has been recognized from Day One, and is recognized today. If I were a married man and I felt I had a vocation to Holy Orders, I would pursue this either in the Diaconate or, say, aim for priesthood with the Byzantine-Melkites who are also under the Bishop of Rome (the Pope). And yes, people do this. For instance, Fr. Emmanuel McCarthy (LINK), married, father of 12, Catholic priest.
Why don't more Catholic men pursue this? I don't know. It's a calling. The ones I know say they understand themselves to be called as celibates to be Catholic priests. It's part of their calling, as hey see it. Why would you do that unless you were quite sure it was part of your calling?
I am very glad that the Catholic Church has its doors open to celibates who have this vocation.
I feel rather sorry for people who do have a celibate calling, but who in other church groups do not have an honored, recognized way to live as they were called.p> The Church has a provision for *voluntary* celibacy. Voluntary. Highly recommend by St. Paul. Many people choose to live this way "for the Kingdom," as Jesus said. There is nothing un-Biblical about that.
Answer
In the Eastern rites of the Church it is common for married men to be ordained to the priesthood. Further, in the Latin rite there are a few married men, converted ministers from other faiths, who are ordained to the Catholic priesthood. This, however, is not common. Finally, in neither the Latin rite nor the Eastern rites do priests (or deacons) marry after they have been ordained, except in extraordinary circumstances.
The reasons Latin rite priests cant marry is both theological and canonical.
Theologically, it may be pointed out that priests serve in the place of Christ and therefore, their ministry specially configures them to Christ.
catholic teaching...not biblical teaching
As is clear from Scripture, Christ was not married (except in a mystical sense, to the Church). By remaining celibate and devoting themselves to the service of the Church, priests more closely model, configure themselves to, and consecrate themselves to Christ.
again...outside of Christ being not married, the rest is catholic teaching.
As Christ himself makes clear, none of us will be married in heaven (Mt 22:2330). By remaining unmarried in this life, priests are more closely configured to the final, eschatological state that will be all of ours.
outside of the first sentence...more catholic conjecture
Paul makes it very clear that remaining single allows ones attention to be undivided in serving the Lord (1 Cor 7:3235). He recommends celibacy to all (1 Cor 7:7) but especially to ministers, who as soldiers of Christ he urges to abstain from "civilian affairs" (2 Tm 2:34).
Big difference between recommending and forbidding.
Here is where catholic "tradition" takes over from Biblical teaching.
Canonically, priests cannot marry for a number of reasons. First, priests who belong to religious orders take vows of celibacy. Second, while diocesan priests do not take vows, they do make a promise of celibacy.
Third, the Church has established impediments that block the validity of marriages attempted by those who have been ordained. Canon 1087 states: "Persons who are in holy orders invalidly attempt marriage."
This impediment remains as long as the priest has not been dispensed from it, even if he were to attempt a civil marriage, even if he left the Church and joined a non-Catholic sect, and even if he apostatized from the Christian faith altogether. He cannot be validly married after ordination unless he receives a dispensation from the Holy See (CIC 1078 §2, 1).
http://www.catholic.com/quickquestions/why-cant-a-priest-ever-marry