What? Like Robert Yeoman? Who for some reason lost to Birdman? Are the people who give away these awards wearing their grandma's glasses when they sit in theater?
Since there were other formats than s35 "back in the day" (hate saying that), the size of the sensor is not an issue. There are still formats like s16 and s8 film and MFT is closer to those. The film look is something which is a lot based on post processing and color correction, as Brandon mentioned.
The thing is, that film, as opposed to digital, never used any sort of interpolation or electronics. Single sensor cameras (like most on the market) have a bayer-pattern... (bla bla bla, things you either already know or can check on youtube any time)...which causes the tones in your image to be sort of "mathematic". Film is a chemical reaction, so there is no computer assigning voltages to tonal values in your image. the roll-off between tones (and usually the dynamic range, too) appears much larger, especially in the highlights when using film. In order to achieve that rich tonal look of film in post processing you need a lot of Bit-information. The GH4 records to 4:2:0 8 Bit. Fortunately it can output a 10 bit 4:2:2 image via HDMI and here you could find an external recorder handy. (8 bit=256 tones per channel 10bit=1024 tones per channel).
So really dont bother with crop factors. As you see there are workarounds for that, and the small sensor can even come in handy (steadicam or gimbal in low light for example).