I would refer those interested in this topic to a good church history book such as “Pilgrim Church” by William J. Bausch. You will find that the issue of celibacy vs. married priests and the differences between the Roman and Eastern rites is a bit more complicated, and evolved slowly over time.
In about the 4th century, both the Roman and Eastern churches began to restrict priests from marrying, or re-marrying AFTER ordination, but it wasn’t until about the 11th century (after the split with the Eastern Church), that celibacy began to be both mandated, and enforced in the Roman Church with it being canonized in the second Lateran Council of 1139. As another poster had pointed out, this movement was largely driven by the fact that monastic priests were growing in numbers and made up a much larger proportion of the ordained.
From a strictly personal perspective, having grown up in a Protestant denomination… in the nearly 25 years since I became a Catholic, I have frequently observed what a blessing it is for us to have unmarried priests. I encourage all Catholics to stop and notice the amount of time and energy our priests devote to serving the needs of our parishes! Take it from someone who experienced a number of married ministers over the first 25 years of my life. You rarely get that kind of availability from a man with a family!
We might attract more priests by eliminating celibacy, but I suspect it wouldn’t come close to making up for the time their families would take away from the parishes. Oh, and you would also have to then choose between paying more for your priest, or accepting that they will have to take a job outside the parish to support their families!