Mixing 16:9 and 4:3 footage on DVD

I was wondering if someone could help me find a solution to my problem. First off I am using Encore 2.0 I have made a 16:9 project in premiere that contains both 16:9 footage and 4:3 footage in the project. When I bring it over to Encore and make a dvd with this footage the footage looks awesome on a 16:9 TV the full screen footage is pillar boxed as it should be. If I display it on a 4:3 tv the 16:9 footage is correctly displayed letterboxed but the 4:3 footage is also letterboxed and pillar boxed. After thinking about it, it does make sense why this happened as Encore only knows that the whole time line is a 16x9 project. Now, what can I do to get the 4:3 footage displayed correctly? The only thing I can think of is making all 16x9 footage and 4:3 footage have their own timelines then linking them. Obvisouly I would have to reexport all 16x9 footage in a 16x9 project in premiere and all 4:3 footage exported in a 4x3 project. Not sure how make chapters with that though. Any one have a better solution?? I don't mind the 4:3 footage getting streched on widescreen that is bound to happen I think.