A2: No, I feel confident that the two are not mutually exclusive, that both are correct, that it is a lack of data that appears to make them dissonant.
Quite agree as well.
As there seems to be an attempt to hijack this into a critique of science again, I'm going to bring in an account of personal spiritual development.
In periods of spiritual growth, there is often a heightened awareness of information, and how it can interrelate. It feels like you've got some of the jigsaw pieces that help create an overall picture of reality and its deeper meanings.
The trouble is, you never have all of the jigsaw pieces - the moment you think you have them, you've stopped learning.
Some of the jigsaw pieces seem to fit well, but some of them don't - not yet.
And yet, underlying it all, has to be a sense of humility - that no matter how much you think you know, how much of the picture you feel you can construct, you have to accept that you may be wrong. After all, this is the process of learning!
A wise man* once told me: "The fool who thinks himself a wise man is but a fool; but the fool who realises that he is a fool demonstrates wisdom!"
* Actually, it was a voice in my head. Spirit guide kind of thing.