Disclaimer: yeah Klingons are fictional and can be whatever we want them to be. And I celebrate and have no issue with Star Trek's continual inclusion of queer characters.
But would it really be so bad if Klingons did not have the same moral and cultural values that humanity does? I think it would make a far more interesting show. It's easy to preach tolerance and acceptance when everyone is culturally more or less the same, but it's a much deeper moral dilemma when there are fundamental differences in the way they view the universe.
And would be much more analogous to cross-cultural differences on Earth today.