Needs tests on correctly handling name delimiters: every other solution (1 and 2) only considers alphabet words as names, and still pass all the tests. This would fail against

assertTrue(NameValidator.areNamesIdentical("456 123", "123 456"));
assertFalse(NameValidator.areNamesIdentical("A1B", "B1A"));

Among others.

What happens when name contains duplicate name parts? This is a total possibility, and so far every solution is assuming this is not true.

The description do not specify what happens when two names contain different number of parts.

If name contains 3+ parts

Is this name, or nameToIdentify? When two names have different number of parts this is ambiguous.