What accounts for the high GDP of the United States?
Looking at gross output (which includes using the outputs of other industries) and value-added (largely wages and profits) by industry you get numbers like this for 2017 in USD trillion.  

Adding up the value-added gives total GDP, and you can see that there is a lot more to the economy than manufacturing

                                                         Gross output  Value-added
Agriculture, forestry, fishing, and hunting                       0.4  0.2
Mining                                                            0.5  0.3
Utilities                                                         0.4  0.3
Construction                                                      1.5  0.8
Manufacturing                                                     6.0  2.2
Wholesale trade                                                   1.7  1.2
Retail trade                                                      1.8  1.1
Transportation and warehousing                                    1.1  0.6
Information                                                       1.7  0.9
Finance, insurance, real estate, rental, and leasing              6.2  4.1  
Professional and business services                                3.8  2.4
Educational services, health care, and social assistance          2.8  1.6 
Arts, entertainment, recreation, accommodation, and food services 1.4  0.8
Other services, except government                                 0.7  0.4
Government                                                        3.7  2.5

Total                                                            33.7 19.4