It really doesn't matter who is doing the picking: the results are likely going to be the same.
The Democrats have a Permanent Government - either in fact, or in exile.
When a Republican becomes President, they move out temporarily, and act as a shadow government.
When a Democrat wins, they move back in.
Republicans don't do this as a rule, because they rarely pursue careers in government.
That is why Washington, D.C. voted 94% for Biden.