matching a GH4 with a Sony PMW 200 for TV show

[obi]

I posted this in the DVXuser group but thought I'd ask/post here also.
 
If anyone has advice etc much appreciated. We are shooting a TV show using a number of different cameras but primarily on Sony PMW 200 for action and GH4 as second camera's for CU's, inserts and cutaways etc. In post we are going to try and match them in colour/look. How successfully this can be is an unknown? I'm Wondering if you have used these cameras together on a shoot and have any insights as to what to expect in post or on set to try and get them to work well together.

For example a typical scene might in a mechanics garage, the presenter/mechanic will be shot on the PMW 200 framing between Wide-Mid-CU's working the scene shifting from presenter to car engine back and forth varying shot sizes etc while getting grabs and the occasional PTC (pieces to cam). The GH4 operator will be standing back over my shoulder on a slightly a longer end picking off cutaways, inserts of the presenter and other participants faces CU's/ECU's, presenters hands and engine parts etc, while also becoming the second camera for any longer presenter PTC's.
Outside in more dynamic environments the GH4 will be used for higher frame rates sometimes flying on a type of steadicam rig while the PWM compliments with variety of typical reality shots, and wider shots at normal speed.

Some issues of concern are;
1.

How well can handheld on the GH4 be stabilised? We will be shooting handheld at 35mm MFT (70mm FF)...Well have a monopod and perhaps a small shoulder/chest rig at times so hopefully these will remove jitters. Also we will be shooting the GH4 in 4K internal for 1080 timeline in post this will hopefully help with stabilisation with post cropping etc and also help match the PMW 200 4:2:2 color space. The GH4 lenses at this stage are the Panasonic 12-35mm with OIS - good for run gun I'm told?, the Olympus 9-18mm and Olympus 25mm (both these are non stabilised), and Panasonic 100-300mm IOS. GH4 rolling shutter is not seen as much of an issue as in post we'll cut to the PMW 200 for the faster action.

2. How well will the GH4 and its shallow DOF intercut with the PMW 200? Obviously GH4 MFT shallow depth of field will be greater than the PWM 200. I'm hoping they'll compliment each other cutting to the GH4 for its shallower DOF in the presenter CU etc. I would not want extreme shallow DOF (like a FF such as the 5d as this would be to contrasting and distracting to cut with the 200) but I hope the GH4 DOF cuts and compliments the PMW 200? 

3. Both camera's picture profiles? We have not played with these yet but wondering if anyone has some ideas on these camera's settings that may get the two camera's closer together in look, or what might be best settings to enable post to pull them together better in the edit?

If anyone has any thoughts or can see any issues/solutions or has any links to the Sony PMW 200 and GH4 playing happily together, fire away... :) Cheers Obi.