If you could find a way to efficiently convert plastics to liquid fuels (and took the time to talk to a patent attorney), you'd get very rich very quickly. The problem is that even the simplest of plastics (poyethylene) is made of very large polymer molecules, which have to be broken down into much shorter chains (think ball of yarn vs. 1-cm snippets.) That takes energy and, usually, metallic "cracking" catalysts. You can do it, but you'd be competing with the very same process that starts with crude oil - and the latter has a few advantages, in scale and in the cost of feedstock. There might be a way to add shredded plastic to the crude, but even then the cost of transporting and shredding would have to be pretty low, to make the overall effort profitable.
Probably best to recover what energy you can by burning plastics directly - that's what's going to happen to any liquid fuel you might be able to make.