Due to its nature, I don't believe it will work properly.
However, even if you manage to install it somehow, note that Mobile Iron has Administrative rights on your phone plus it provides a lot of info to whoever manages Mobile Iron at your company.
At the very least, they can locate, lock, issue a Lost Phone command, or even wipe your phone remotely. Not saying that they can see all the installed apps and Mobile Iron can also enforce its own policies, for example, disallowing to install any app outside of Google Play store. Your phone will virtually become a company-owned device.
These enforcements will apply to your normal profile too as this is where Mobile Iron will be installed (it will create the Work space automatically during install).
My personal opinion - not worth it privacy-wise, even if you manage to install it somehow.