Great gugly muglys!  This was harder than it needed to be.
Export one flat default
This is a great opportunity to use spread (... in { ...Matters, ...Contacts } below:
// imports/collections/Matters.js
export default {           // default export
  hello: 'World',
  something: 'important',
};
// imports/collections/Contacts.js
export default {           // default export
  hello: 'Moon',
  email: 'hello@example.com',
};
// imports/collections/index.js
import Matters from './Matters';      // import default export as var 'Matters'
import Contacts from './Contacts';
export default {  // default export
  ...Matters,     // spread Matters, overwriting previous properties
  ...Contacts,    // spread Contacts, overwriting previosu properties
};
// imports/test.js
import collections from './collections';  // import default export as 'collections'
console.log(collections);
Then, to run babel compiled code from the command line (from project root /):
$ npm install --save-dev @babel/core @babel/cli @babel/preset-env @babel/node 
(trimmed)
$ npx babel-node --presets @babel/preset-env imports/test.js 
{ hello: 'Moon',
  something: 'important',
  email: 'hello@example.com' }
Export one tree-like default
If you'd prefer to not overwrite properties, change:
// imports/collections/index.js
import Matters from './Matters';     // import default as 'Matters'
import Contacts from './Contacts';
export default {   // export default
  Matters,
  Contacts,
};
And the output will be:
$ npx babel-node --presets @babel/preset-env imports/test.js
{ Matters: { hello: 'World', something: 'important' },
  Contacts: { hello: 'Moon', email: 'hello@example.com' } }
Export multiple named exports w/ no default
If you're dedicated to DRY, the syntax on the imports changes as well:
// imports/collections/index.js
// export default as named export 'Matters'
export { default as Matters } from './Matters';  
export { default as Contacts } from './Contacts'; 
This creates 2 named exports w/ no default export.  Then change:
// imports/test.js
import { Matters, Contacts } from './collections';
console.log(Matters, Contacts);
And the output: 
$ npx babel-node --presets @babel/preset-env imports/test.js
{ hello: 'World', something: 'important' } { hello: 'Moon', email: 'hello@example.com' }
Import all named exports
// imports/collections/index.js
// export default as named export 'Matters'
export { default as Matters } from './Matters';
export { default as Contacts } from './Contacts';
// imports/test.js
// Import all named exports as 'collections'
import * as collections from './collections';
console.log(collections);  // interesting output
console.log(collections.Matters, collections.Contacts);
Notice the destructuring import { Matters, Contacts } from './collections'; in the previous example.
$ npx babel-node --presets @babel/preset-env imports/test.js
{ Matters: [Getter], Contacts: [Getter] }
{ hello: 'World', something: 'important' } { hello: 'Moon', email: 'hello@example.com' }
In practice
Given these source files:
/myLib/thingA.js
/myLib/thingB.js
/myLib/thingC.js
Creating a /myLib/index.js to bundle up all the files defeats the purpose of import/export.  It would be easier to make everything global in the first place, than to make everything global via import/export via index.js "wrapper files".
If you want a particular file, import thingA from './myLib/thingA'; in your own projects.
Creating a "wrapper file" with exports for the module only makes sense if you're packaging for npm or on a multi-year multi-team project.
Made it this far?  See the docs for more details.
Also, yay for Stackoverflow finally supporting three `s as code fence markup.