Whatever, its still not convincing, since the Navy could have involved themselves in the programs from the start, and there are aircraft that did make the transit from ground based to carrier based successfully, including the MiG-29, Su-27, Typhoon and Rafale.
1. If the aircraft was designed around Navy specs, the aircraft would have less performance than an aircraft designed around Air Force specs... Naval aircraft are generally heavier and have less performance than equivalent ground-based aircraft due to the nature of naval operations. High speed performance would also suffer slightly, as low speed performance is more heavily prefered due to the nature of carrier landings. For example, the F/A-18 and the F-14 both have superb low speed handling characteristics, and are able to turn tighter, and able to pull overall much higher alphas. From what I remember at least that F-14 fitted with exciter vanes during tests (never in operational service) and the F-14D could with it's F-110's pull Pugachev-Cobras and the like (not sure if the F-14D had any modifications to it's glove or more relaxed stability to allow it to be done or not). At high KEAS and Mach numbers the F-14 also had an advantage in terms of maneuverability as well to it's higher swept swing-wings. To the best of my knowledge, all F-14 variants had lighter wing-loading than the F-15 (especially when you count the pancake, which adds 443 square feet of extra wing-area, which when added to the wing's 565 square-foot area effectively increase the total wing area to 1,008 square feet) however the F-14A's thrust to weight ratio was substantially lower.
The F/A-18's low speed performance is due to its design. The Hornet flies very comfortably at AoAs of up to 50 degrees and has great pitch, roll and yaw authority between 25 degrees of AoA and the lift limit of 35 degrees of AoA. In terms of manoeuvrability, across the entire flight envelope, there is only a very small area where the Hornet could out-manoeuvre the F-16 and that is somewhere between 0.3M and 0.5M (right around the speed needed to approach a carrier for landing). The key to this is the highly pronounced LERX's on the Hornet; the LERX generates lift ahead of the centre of gravity. At some angles of attack it will generate vortices which may help high Alpha handling and which (especially on a twin finned aircraft) can help directional stability and control.
The F-15 was better at transonic speed, and intermediate airspeeds, and was better at sustaining high-G turns (though the F-14 was better at instantaneous G's, though, at least at some speeds). The plane had a higher thrust-to-weight ratio, a superior climb-rate, and what appears to be a better rate of roll. It also has a higher top-speed than the F-14A. There might be a small area of the upper high-speed range where the F-15's manoeuvrability begins to rival or exceed that of the F-14 (this is a speculation due to the wing-body fairing set-up - however, if true, the F-14 is generally better at supersonic speed).
But put a F-14 and the F-15 into a dogfight, and the F-14 will come out on top. In fact, just prior to VF-101 retiring their Tomcats, they did some war games with the 159th FW F-15s. When they flew out, it was 6 Eagles and 4 Tomcats. One Tomcat was "shot down" and 5 Eagles were "splashed". All of the dog-fighting was done in close quarters with nothing more than guns and AIM-9s.
Problems you present are not impossible to overcome given the technological resources available. Rather, the problems are presented as excuses. The Russians had the exact problems you mentioned and still came out with the Su-33 and MiG-29K. I don't think the US could do no less. With the sole exception of the F-4 Phantom, aircraft dedicated in design for naval service still suffer from all sorts of performance disadvantages compared to their land based aircraft. The F-14, F-18 or the Super Hornet for example, cannot achieve the same acceleration, dash and top speeds as the F-15
1. MiG-29 and Su-33 do not have to withstand the rigours of catapult launches. Furthermore, the carriers that operate them rarely if ever go to sea, or conduct heavy duty operations. They also do not have to carry heavy ordinance long distances. Typhoon was never navalized, and the Rafale was designed in mind from the ground up as a naval fighter. The naval version of the Rafale weights an extra half a metric ton more than the equivalent air force variant. This cuts into payload, range, and every other performance measurement.
2. Different design mentality between the F-14 and F/A-18 compared to the F-15. The F-14 was designed from the ground up as a fleet interceptor carrying the large AWG-9 radar and the accompanying AIM-54 Phoenix missile. May I remind you that the AIM-54 missile is HUGE. The F-14 was designed to be the Soviet bomber killer that could go out and shoot down Soviet bombers before they could launch their missiles at the carrier.
The F/A-18 was designed as a replacement for the A-4 Skyhawk, the A-7 Corsair II, remaining F-4 Phantom IIs, and to complement the F-14's. With the Navy, they can't afford to put bombers, attack, and fighter aircraft squadrons all on the carrier as space is valuable. For example, even the C-2s don't even stay onboard unless it's a transit. So for the Navy the idea of a fighter that could drop bombs and shoot down enemy aircraft was a valuable one.