JSFiddle - React, Tailwind, and code Playground

HTML

<button onclick="mystart('f');">Сортировка</button>

JavaScript

var testDataBase = {};

testDataBase.Base = [
{'name':'test1'}, 
{'name':'801'}, 
{'name':'8'}, 
{'name':'8a'}, 
{'name':'Test1'}, 
{'name':'tEst1'}, 
{'name':'boss'}
];


function mystart() {
//var sortedDB = testDataBase.Base.sort(mysort);
for (i=0; i < testDataBase.Base.length; i++ ) {console.log(testDataBase.Base.sort(mysort)[i].name);}
}

function mysort(var1, var2) { 
  if (var1.name.toUpperCase() < var2.name.toUpperCase()) 
    return -1; 
  else if (var1.name.toUpperCase() > var2.name.toUpperCase()) 
    return 1; 
  else 
    return 0; 
}