Actually, marriage does not strip a priest of his priesthood, as long as he doesn't seek laicization.
If a priest is laicized, he is essentially reduced to the lay state (laicization is only granted by JP II in cases of sexually abusive priests).
However, I know of five cases of priests in Dallas and Fort Worth where the priests left the priesthood, married civilly, divorced at some point, and Rome has granted every single one of them the right to come back to the priesthood.
However, laicized priests, who sought the proper route so they could marry in the Church, will never be given the right to exercise priestly ministry.
In fact, in some dioceses, laicized priests can do nothing in parishes. That means no RCIA teaching, no lectoring, no Eucharistic Minister, no Engaged Couple ministry.
No nothing. They're outcasts.
Yup. Punitive, no doubt. Some parishes are more welcoming though, but I don't know if they are allowed to use their talents as you described.
And woe to the woman who steals a collar away from the priesthood by marrying him. She is tarred and feathered, figuratively speaking. He isn't treated quite so badly because boys will be boys.