Priests in the eastern church are allowed to marry and guess what, the eastern church (sometimes called orthodox) doesn’t have this problem.
...is this where marriage is defined as a union between one man and one woman? How will that work in the US with its newly found, 200+ year dormant constitutional right regarding marriage?
Even the RC in Europe does not have the problem on the scale of the US and US trained clergy where the lavender mafia controlled the seminaries in many cases. The problem is not vows of celibacy but homosexual groups allowed to flourish coming from liberal US since the 50s.
I would hazard to guess that Vatican gays were fostered by US trained priests and bishops.
I think you've got this backwards. Married men can be ordained to the priesthood, but single men, once ordained to the priesthood, cannot marry. There are some instances in the western Church where married men have been ordained, but they are typically men who were already married and had served as ministers in protestant churches.