Now that we have buy in the pressure isn't so bad. I have a startup background and this is one of the reasons why I was hired. I am not too worried about having to convince my manager, she's great and is the one who started criticizing the legacy (she arrived a few months ago) and asked me to dive in and give my opinion.
She agreed to let me work 30% of my time on this, and the rest on delivering direct value to the clients. The related tickets will be part of the sprint. I will do as you say now, and create items that address the concerns.