And I don't have a problem with women as teachers or cantors (in fact I am a cantor, every fourth Sunday - members of the choir share the job around.)
A problem here that is specifically pertinent to Catholicism is the function of the priest, which doesn't obtain in Judaism (at least not until the Temple is rebuilt, I guess - but you instruct me on that point if I am off base).
Anyhow, in Catholic (and some Anglican) belief, the priest is an alter Christus, another Christ, who participates in the Divine Sacrifice on the altar. A woman cannot do this by definition.
As a purely practical matter, I'm in a good position to judge because the ECUSA parish I used to belong to before the family Crossed the Tiber was the training parish for our diocese. I was in the parish about 28 years and saw every newly ordained female priest as they went through their training. With ONE exception, none of them were fit for the liturgical office of priest.
As a poster has noted above, a lot of these women are priests not because they hear an authentic call from God, but because they have various unresolved "issues". Some are doing it to prove a political point, some feel that it's necessary from a cultural point of view, some are radical feminists, and some are just frankly man-hating lesbians who join up to "get the men". (At least the church fired THAT one.)
I haven't been very impressed.
Why is that?