Do Latin Rite Parishes within the RCC ever accept the married Eastern Rite clergy into their ranks at all?
If you mean grant "Bi-Ritual Faculties" It can safely be assumed the answer is yes, however, you are more likely to see bi-ritual faculties granted a Latin Rite Priest because of numbers.
It is in fact a not an uncommon practice.
The most prominent Bi-Ritual Priest is Fr. Mitch Pacwa, though he may have been ordained with Latin Rite Faculties and had them extended to the Maronite Rite.
As a reminder however, many Eastern Rite Parishes have not adopted the custom of Daily Liturgy so many married Eastern Rite Priests have the ability to hold down secular jobs if they choose.....at least in this part of the world.
Do Latin Rite Parishes within the RCC ever accept the married Eastern Rite clergy into their ranks at all?
>>No.
I'm not sure I understand your question.
* Latin Rite parishes accept married Anglican converts into their seminaries but uphold the rule of celibacy in that should the spouse predecease the priest, he may not marry again.
* Latin Rite parishes also accept widowers with grown children with the same rule of celibacy.
Amongst the Eastern Catholic Churches, the general rule has been that priests assigned to 'their' parishes in the US are celibate. This, I understand, has changed with certain Churches like the Ukrainian and Byzantine.
The Maronite Catholic Church allows for married priests but does NOT send them to the diaspora. As the Patriarch has explained on many occasions, married priest resolve one problem but create another. There is much less flexibility in assigning them because each move entails relocating their family as well. In the US, ALL of the Maronite priests chose the celibate priesthood.
Now, my Maronite pastor is also bi-ritual and assists the RC Diocese by saying the Latin Mass at priestless parishes or at a local hospital. However, he falls under the Maronite Eparchy and is free of any entanglements with the local RC diocese.
I have never heard of an Eastern Catholic priest being assigned to a Latin Rite parish, have you?