I am not sure, but the three times is the killer.
Honestly how dumb can you be? I know your looking for advice, but really, three times? Thats just dumb and I hope you get clean, and I really wish you luck, but do you understand you could have killed somebody? Do you even care? I would say no matter how you respond, you don't, because you have done it AT LEAST two more times (probably alot more). This is just a huge problem with me. So after the rant, I will answer your question.
There is character that comes into play, and frankly three DUIs is probably going to be a major problem getting admitted into the bar, and most schools will look at that as a huge negative when deciding admissions. You could argue that one DUI is a mistake, but three, thats just bad character and horrifically selfish.
I would say you will have a very very difficult time getting into law school, but with very good numbers, you may be able to find some schools to take you. Though I would check with the bar assosisation to see if you would qualify to be admitted before you spend the money on law school.
And the MIP, not that it would usually be a problem, but I am sensing a pattern here.
Your rant now mine. It amazes me how fast DUI perceptions can change, As part of my job I recently had to summarize new changes to DUI law in my state. I started reading media reports and wow- The public at large is horribly against DUI to the point of insanity. You used the word "could have"a lot- that should tell you something. There is no criminal intent with DUIs, its kind of a crime by default or social necessity. Unlike robbery or fraud, ect. The new MADD induced media perceptions of DUI reminds me of the truth campaign with tobacco. Propaganda is an amazingly strong and effective force, true or not. Lies can rule perception and opinion. As long as you did not hurt anyone the "could haves" are irrelevant. Oh and fortunaly for you and not our children there is a generational gap. Many of the admissions people are in there 40s and 50s and formed opinions before the MADD media propaganda onslaught. You might be okay.
Now for what might actually help you: I knew a guy in law school who had a rap sheet 22 pages long. Mostly dismissed arrests, but he did have 2 DUIs and 1 underage consumption conviction that I am aware of (he thought it was funny-I liked the guy). So it is possible. He is as smart as hell, though. I don't know what his LSAT was, but I bet it was pretty good. Also, volunteer religiously or do something that shows the admissions committee you are passionate and dedicated. And first and foremost don't get any more DUI arrests or alcohol related issues. Good luck. And don't pay attention to the people that try to put you down for this. DUIs are waaay too common (as high as 1/3 of the population in some areas has a DUI), especially in states without good public transportation, and especially in places like the bible belt where there is a social condemnation.