Law librarians don't necessarily mind Google as a legal research tool---the issue is more about law researchers knowing why they are using Google. Is it really getting you the best result or is it simply returning results that you then force into an answer to your legal question? It's like that adage, if the only tool you have is a hammer, everything looks like a nail.
If you've yet to discover the glories of ProQuest, HeinOnline, or even LLMC, at least do yourself the favor of discovering whether you truly prefer the search results produced by Bing or Google. With BingItOn, you can run five different searches and blindly compare the search results to see whether you're getting what you're looking for more often with Bing or with Google. Think of it as the modern equivalent of the Pepsi Challenge.
In the end, you may prefer Google's search results after all, but at least you'll know the capabilities of those other tools in your research toolbox should you need them.