I am currently a practicing attorney in the US, but I have decided that I want to attend an MBA program. I have been practicing for almost 4 years now and have worked my way into an AmLaw 100 firm. Unfortunately, calling my law school grades less than ideal is an understatement. I have a decent undergraduate GPA (3.2), however, it was a liberal arts degree. I am looking at MBA programs such as Leeds, Edinburgh, Westminster. My question is, due to my low law school GPA, are my chances of admission into one of these schools or the like, dead in the water?

[Edited by Andrew Liaropoulos on Apr 29, 2020]

Leeds and Westminster will have you with any grades. At Edinburgh, I think you just need a good GMAT to balance it. 

Thank you for the response! Are there any other schools that I should consider taking into account my law school GPA? Admittedly, the idea is not to go back to the States, but secure job placement in the UK (which I understand is getting more difficult, and presumably made more difficult by not attending a top school)
Also, how should I handle any academic references? Should I use a professor from undergrad since my grades were generally better or should I obtain a reference from one of my law professors from a class I did well in? 
I'm fully prepared for the often heard legal response "it depends" 

[Edited by Andrew Liaropoulos on Apr 30, 2020]

Because applicants to European MBAs have more work history, international experience and less verbal acuity and sometimes less familiarity with group-work than US applicants, their criteria are weighted differently. Work experience, group-work and verbal acuity matter more here, and your GPA is more distant. 
Basically, don't worry about your GPA. I had a terrible GPA, worse than yours, and got admits at all the schools I targetted other than HSG. 
Pick the references that best illustrate teamwork, self-awareness, interest in business and verbal acuity.
Take a look at: Best MBAs for international students' placement http://www.find-mba.com/board/41143 Really, aim for the best school you can and consider a long-format MBA or January start programme with an internship to get more credibility

Duncan, I wanted to thank you again for your advice. I was ultimately given an unconditional offer by UEBS and I have since accepted. I'm looking forward to September. 

Congratulations! It's such a beautiful city and a lovely campus.