The backlit / rim-light effect that you are seeing in the example image(s) is extremely common in wedding photography, particularly, for the "1st dance" of the B&G. It is such a widely sought-after effect (by both couples and photographers) that many technique articles and descriptions are available on the web, e.g.,
http://ptgmedia.pearsoncmg.com/images/9780321646873/samplechapter/05_CapturedLight_96-117.pdf.
If the photographer sets the flash power just a couple of stops too strong, the rim lighting effect starts to look like what is seen in the examples (ie, 1st two photos posted in this thread). This does not look at all like a "cut-out" effect to experienced photographers -- it's an entirely expected result of the lighting.
Even though the overly strong rear strobe was a bit of an error, backlighting in such photos is such an expected effect (almost a cliche) that in my tweaked version of the OP's shot, I let the overly hot rim-lighting stand instead of trying to "fix" it by reducing it to nearly zero as seen in posts #8 and #10, thereby artificially making the scene look almost like it was a dull, low contrast, front lit shot instead of a high contrast back lit one.
A second lighting error was also made in the sample images: The strobe in back of the couple spilled way too much light on the people nearest the strobe and burned them out. The photographer should have narrowed the emission angle and moved the rear flash forward a bit, towards the couple.. That is utterly trivial to do with an assistant and any modern, professional grade, remotely triggered hotshoe flash (...there is a zoom control on almost all of these), and only slightly more difficult to do with older units (... by adding flags, barn doors, or the like).
To illustrate the difference between back and front lighting, and why one should not attempt to completely "fix" too hot rim lighting, below, I attached two of my own images from a wedding that I shot about a year ago. Unfortunately, like the photographer who shot the example image(s) in this thread, my newbie assistant (who was holding the remote flash) needed to step in front of the crowd (that was in back of the couple), not just be even with them, so I also got a bit too much spill in my backlit photo. Fortunately, I didn't burn out the hair highlights or the neighbors as badly as in the example photo.
Bottom line recommendation: Don't "fix" an effect that is expected, and was almost certainly set up intentionally by the photographer.
Just my $0.02,
Tom