Can't speak to the capability of the camera.. don't have one.. don't plan to have one.
And, if this is a one off situation (you don't plan on becoming a career WP), what I have to say won't apply.
You cannot project an image of professionalism with a single camera that doesn't look much different than the many P&S cameras either with or owned by attendees, let alone the wedding party.
There has been discussion on this on many forums, and likely a reason why many professionals load on the DSLR gear and drag it all out to weddings.
It appears that, notwithstanding the problems that the Fuji has demonstrated, the camera is as capable as many of the older DSLR cameras WP's are carrying. However, it doesn't create much of an impression for people paying for the images to see a photographer walk in with one camera that would fit in a fanny pack.
"Heck, uncle George has a wonderful and cute little camera he bought a few years ago and has shown us some excellent pictures. I bet he'd do it for nothing??"
Unfortunately, and no pun intended, in business "image" is everything. Career photographers, to sell their services must still look "professional".
This may change, but I think at this time, the world is not ready to shell out big bucks for pictures from a perceived "toy" camera.
I do not think that even as the "chosen" photographer, you have the latitude of NOT looking professional to the general crowd at most paid events. It's called "marketing" and looking like a professional is VERY important in acquiring future business.
comment overheard:
"Gee that photographer seemed to know what he was doing, and was both thorough and professional. I wonder why he was shooting with such a cheap camera, and no backup???? Hmmmm..."