Thegra: Yes, our Kohanim are true Kohanim. This is what the vast majority of contemporary Poskim have held for the last 200 years since R’ Akiva Eiger and others accepted R’ Tzvi Hirsh Kalisher’s explanation of what Kohanei Chazakah means.
And a Ba’al Mum can’t Duchen? Why is everyone sure of that? He can’t do the Avodah. But he can Duchen as long as the Minhag of where he is is to cover the Kohanim with Taleisim while they Duchen.