I doubt cat shots and traps are that big of a deal for most of the airframe since it is rated for 22 G's. Maybe if congress had spent the money they spent soley the development of the F-35 and put that into making some airframe adjustments to the F-22 (I doubt cat shots are that big of a deal for most of the airframe since it is rated for 22 G's) specifically the gear and maybe something to combat the salt air (fresh water hose downs maybe?). Don't get me wrong, I have no desire to see the F-22 on a carrier but it may have saved a lot of money in the long run.... but hindsight is always 20/20 or at least correctable to 20/20.
I have deceled from Mach+ and have over 700 traps. A carrier arrested landing occurs in a much smaller distance that a decel at speed. It is much more violent. Brett and Mumbles are correct in that you are making assumptions that reveal you have no clue what you're talking about in terms of comparing G loads on aircraft. And you're so far out of realm of reality, it would be near impossible to explain to you what you don't know.
As to your even bigger leap in thinking a navalized F-22 would have saved money, you fail to take into account the needs of the Marine Corps and Air Force itself. They sought replacements that F-22 was not optimum for even with mods. Furthermore, F-22s are so expensive (from $138 to $365M each depending on what is included) that the reason JSF was very attractive was it's threshold was to cost no more than $28-32M (depending on variant). Even with cost creep, it's still a bargain over putting nonrecurring R&D into F-22 and having them cost so much.
You best move statements and questions like these to the Stupid Question thread as these are going to bring a huge backlash.