Yes. That was a very basic explanation. I'm at work so couldn't do a longer one.
With regards to Muslim Christian views aligning. Most religious people (from Abrahamic faiths anyway) would say yes. I'm not always sure why (unless it's to be nice or defensive etc).
I don't think they do and some of the scholars would say no too. There are too many disputes on key points.
With regards to the issue of the 6 days. It's not and never has been 6 days in the original texts. It seems to be an issue with interpretation or presentation.
From what I have gathered this was more like 6 zones, eras, points in time not days. No two being the same length.
One era (if I can use that to highlight the point) is not the same as the next. So one can be 10k years another a 30. I suppose maybe even stages could be used?
Also the word rested on the 7th doesn't mean kicked back or went on holiday

.
Its more likely to mean nothing happened during that "era" of significance.