Yep, my policy is to never "cross the streams." Work stays on work-provided (and controlled) devices and personal stays on personal devices, and never the twain shall meet. I work remotely, so I even go so far as to ensure all my work-provided devices are on their own VLAN which is isolated from the rest of my network and only have limited Internet connectivity. I don't really understand people who use work devices for personal (sometimes VERY personal) tasks, or even worse vice-versa: Bring Your Own Device for work tasks.
In many jobs, you're not provided a separate device to use for work. It's just expected that you will have a personal device that you can use. And if you have a problem with that, you can just go work somewhere else.
I have been told in at least two interviews that a condition of my employment is that i have a relatively recent Android phone.
