As I replied to your question in the other thread - I don't think you will notice any difference between 2x1.0 Ghz and 2x1.2 Ghz -- if you "feel" a difference, then advertising really works - both have the same processor, the Texas Instruments OMAP 4430, only Fujitsu's has been clocked to 1.2 Ghz.
I wouldn't call a camera "better" just because it has 13.1 megapixels and the other one has 12.1 megapixels - see above. What should really matter in this case is the fact that Sharp's camera is the world's first CMOS with built-in optical stabilization. This means that you can have image stabilization ON in all possible shooting modes, which was not the case before (image stabilization automatically switched to OFF if you chose "night" or "night landscape" or anything different from "normal"). If Fujitsu's CMOS can't do optical image stabilization in all shooting modes, then it's a loser for me.
The F-05D has LTE, the SH-01D hasn't. The question(s) you should ask yourself here is/are "Does my carrier offer LTE?", "Do I care about LTE?" and "Do I have an unlimited data plan with my carrier so that I should care about internet connectivity which is faster than 3G?"
I don't think there is that big a difference between 4.3 and 4.5 inches. Last I read, Fujitsu's LCD department was bought by Sharp in 2011 and Fujitsu are buying LCDs from Sharp - that's food for thought here!
And... if you get the Fujitsu, you won't really impress anyone, but with glasses-free 3D on your phone, believe me, that's something!