The 1958 demonstration addressed the whole circuit
Kilby demonstrated an integrated circuit at Texas Instruments in 1958. The question was how several circuit functions could be made in one semiconductor body, reducing the burden of assembling separate components.
Robert Noyce independently developed a silicon planar approach with a practical interconnection scheme. The 2000 award to Kilby for his part in the invention does not erase that separate contribution.
A working circuit needs more than many transistors
Components need the correct electrical connections and enough isolation to avoid unwanted current paths. Material processing must produce regions with different functions without destroying neighboring devices. A photograph of a patterned chip therefore says less than an operating electrical test.
Sources: [1]
Manufacture made the idea useful at scale
Reproducible fabrication, reliable interconnects and acceptable yield turned integration into an industry. Smaller dimensions later changed capacitance, resistance and heat removal, continually creating new physical design problems. The first demonstration did not already solve those later limits.
Sources: [1]
Device Labs explain ingredients of integration
The transistor and heterojunction Labs show how a component controls current. This article covers the separate history of integrating components and connections. A new generic chip animation would add little evidence without a fabrication or circuit-measurement question.