do you really need to use both of them at the same time
generally the classes may be deprecated. but usage will still be allowed. You see whole idea of using maven is to avoid multiple jar of same API.
I will suggest code changes and completely using quartz 2.x API.
I was getting similar issue when I used lucene and was switching from 2.2 to 2.8/3, there were not just deprecated methods but many lucene classes were removed i the 2.8 API. I still ended in upgrading the API than using duplicate dependent jars