Allowing priests to marry would be a great start. There is no biblical basis for the current practice.
Is there any chance of this though? Serious non-pit question.
It’s unlikely. The Church is resistant to radical change, and that would be radical. But it is at least a serious topic of discussion among Catholics. The other possible safeguard is ordaining women to the priesthood (I think less likely) or at least elevating them to higher levels of authority (not sure how the Church could give a non-priest authority over a priest, however).
These horrible crimes are largely rooted in the sad fact that the priesthood has for a very long time been a refuge of sorts for some deeply troubled, closeted homosexuals. The vast vast majority of the molestations are homosexual in nature. Allowing priests to marry eliminates that draw, not to mention makes the priesthood a more appealing vocation for more people.
Celibacy of the priesthood is one of the Catholic traditions I have the hardest time grappling with.