My company is willing to let me move to our London office and continue working full-time while I pursue a two-year part-time MBA/MiF program (at Cass, Imperial, or LBS).

My dilemma is that I would prefer to learn another language (Spanish or French), and work in another language, but my company would not continue my work in anything other than an Anglo-phone country. So is it worth the money to NOT cash-flow the MBA/MiF for a year or so and just focus on my studies, or should I just do a London-base program, take a few language courses, and if I want to move to the continent, do so after I have my degree?

How "easy" is it to get a job in continental Europe speaking english and rudimentary Spanish/French (whatever I'd learn at the program...) with an MBA degree?

In some countries you will easily find a job even if you only have English language skills, such as the Netherlands, or Scandinavian countries.
In France, Italy, and Spain I strongly doubt it, I think you need to be able to communicate in the local language, even if in your work field and for your clients only English is required. This is because it is not common that everyone speaks English, so you'd be handicapped to communicate with the whole team - in the Netherlands for instance English knowlegde is common.