Having Option to Disable Strip Quotes for JIRA Service Desk

Customer needs to disable the strip quotes as service desk strips a lot of context if Agents need to follow-up on tickets.
Most of their clients communicate via the email channel and since SD is stripping these, they loose a lot of information/context for the topic in-hand.
Further more, it is not possible to edit the mail handler which has been created by service desk in JIRA.
Customer's description is available in the first comment.