Any solutions for disabling the new WhatsApp feature that shows when the message was read?
You can actually do it now. They rolled out Version 2.11.444 with an option to turn off Read receipts under the privacy settings. The update is not available through the Play Store at the time of me writing this answer, though - you have to download and install the apk from their official website.

For more info check http://codezag.com/disabling-blueticks-whatsapp-turn-off-read-reciepts/