Jets were developed into forms useful for aircraft propulsion beginning in about 1937, but a reliable (meaning "could run more than an hour without self-destructing or catching fire") engine wasn't ready until about 1944 (German "Jumo" engine). A lot of money got thrown at the problem by both British and German engineers.
Skids don't work on tarmac.
Your arguement that the experts wouldn't listen to alternative ideas is not born out by a study of the history of WWII. Both sides struggled desperately to acheive an advantage, any advantage, no matter how temporary. A lot of tactical innovation was made, and a wealth of practical as well as innovative work was conducted. In both British and American labs, many ideas would be pursued simultaneously, and money flowed freely to anybody who had any crazy idea or plan. In Germany, just about every bicycle shop or autmotive garage had their own aircraft designer cranking out crazy looking planes that "just might work".
The idea of a short-duration (<1 hour flight), fast, no-frills, no-strategic-parts-consumed, interceptor aircraft design was tried by the Germans. The ME-163 was a plywood-sheathed rocket plane, and set world speed records almost from its first flight (possibly broke the sound barrier). It didn't work very effectively, because of its short effective combat time and because its closing speed (500 mph) on the much slower bombers (<180 mph fully laden) was too great (pilots could only get in 1 or 2 quick bursts, and then wasted a lot of time getting their fast planes to turn about). Because the engine required specialists for repair/refit/refueling, the plane had to operate from certain fixed bases, and once the Allies realized this and mapped the base locations, the threat was quickly neutralized by targeting those bases with escort fighters loaded for air/ground missions.
Based on the Me-163 experience, explain how your idea would have been more effective?