people make a mistake in making a tzadik and his ideas the center of attention instead of the Law of Moses which should be our focus.
But once you get the idea that the Law of Moses should be the center of our attention, it is hard to get away from the Lithuanian approach.. After all, there are lot of laws in the Old Testament and the book itself obviously requires a logical analysis. And so far I have not heard of anyone who has come up with a more rigorous logical analysis of the laws of Moses outside of the Babylonian Talmud. For example we have several verse in Exodus discussing the obligations of a person that guarding something and the object is lost. Another example in Shabat. Clearly we need a good definition of what it means to keep Shabat. And in this area it looks like that driving on Shabat is a problem because driving involves of the use of a combustion engine.
If Christians would come up with a better analysis of the Laws of Moses than the Talmud then I would be happy to discuss this. But in general Christians do not feel under the obligation to keep the laws of the Torah, and so do not spend a lot of effort in defining them.
We Jews however are under the obligation to keep the Laws of Moses and so it is in our best interest to understand how to keep them.
If there is any group that seems to take a balanced approach to Torah it seems to be Conservative Jews. Mesorati Jews seems to take these obligations more seriously than other Jewish groups.