MacOS – Change text color while writing

Is it possible to be tweaked so that OS X won't ask for password when switching users? Or so that OS X won't ask for password in the login screen?

As long as they are not administrative users, yes. (Since you indicated you still want passwords for administrative tasks.)

It is also essential that password is required for any remote login attempts — as they're in the default installation — be it SSH, SMB, VNC or the like.

In that case, you must only allow logins for administrative users.

One option would be to download changeInput and assign shortcuts to shell commands like changeInput U.S..

You could also use KeyRemap4MacBook:

<?xml version="1.0"?>
<root>
  <vkchangeinputsourcedef>
    <name>KeyCode::VK_CHANGE_INPUTSOURCE_HIRAGANA</name>
    <inputsourceid_equal>com.apple.inputmethod.Kotoeri.Japanese</inputsourceid_equal>
  </vkchangeinputsourcedef>
  <vkchangeinputsourcedef>
    <name>KeyCode::VK_CHANGE_INPUTSOURCE_KATAKANA</name>
    <inputsourceid_equal>com.apple.inputmethod.Kotoeri.Japanese.Katakana</inputsourceid_equal>
  </vkchangeinputsourcedef>
  <item>
    <name>change_inputsources</name>
    <identifier>change_inputsources</identifier>
    <autogen>__KeyToKey__ KeyCode::E, VK_CONTROL | VK_OPTION | VK_COMMAND | ModifierFlag::NONE, KeyCode::VK_CHANGE_INPUTSOURCE_ENGLISH</autogen>
    <autogen>__KeyToKey__ KeyCode::H, VK_CONTROL | VK_OPTION | VK_COMMAND | ModifierFlag::NONE, KeyCode::VK_CHANGE_INPUTSOURCE_HIRAGANA</autogen>
    <autogen>__KeyToKey__ KeyCode::K, VK_CONTROL | VK_OPTION | VK_COMMAND | ModifierFlag::NONE, KeyCode::VK_CHANGE_INPUTSOURCE_KATAKANA</autogen>
  </item>
</root>

See the private.xml documentation.

VK_CHANGE_INPUTSOURCE_ENGLISH is defined in vkchangeinputsourcedef.xml. You can see the IDs of input sources from EventViewer.app. Without | ModifierFlag::NONE for example the first setting would also apply to control-option-shift-command-E. See the source for the key code values and predefined settings.