Integrating disparate style inspirations

How is that for a wordy title?

So I have a lot of different artists that I love, and if I sit down I can imitate each one of them decently, but I feel like I have a hard time integrating them into my own style. I know on a certain level it will just 'happen,' but certain artists I really loved are defined by characteristics that are the exact opposite of those belonging to others.

For instance, I really love painterly, impressionistic work (a la everyone from Sargent to Craig Mullins) but I also enjoy really graphic work as well – pieces that feature sharper edges, more line work, etc., which are elements that feel totally antithetical to an impressionistic approach. It often feels like there's just no middle ground, so my portfolio doesn't feel cohesive. How can I conquer this hurdle and integrate more styles into my pool of influences?