From what I know/have heard, law schools generally weigh the LSAT heavier than your UGPA. That being said, your UGPA is still very important, especially when trying to land a nice scholarship, and when trying to get into a good school. Check out www.lawschoolnumbers.com
and you will be able to see who was accepted where and with what UGPA/LSAT combination.
The LSAT is the great equalizer. A 165 is a very ambitious goal and I commend you on setting your standards as such. But just remember, if you haven't taken a practice LSAT yet, you really don't know where you will end up. I believe the average LSAT is around a 148. The most important thing about the LSAT is practice, practice, practice, as there is no real substantive facts on it. You need to develop good strategies, as it is really a test about taking tests, in a sense. I studied English as an undergrad, and that helped with the arguments and reading comprehension section, but it did jack for me with the logic games (which happened to be my downfall). Your background appears to provide you with a good foundation for easily understanding the concepts that the LSAT tests you on, but, as I said before, it is the great equalizer, and it's impossible to predict if you will be a good LSAT test taker until you start actually answering questions and applying the LSAT strategies to real questions under timed conditions. Look online, or just go to Borders or Barnes & Noble and flip through an LSAT prep course book and see what it is like.
I apologize for not giving you a definitive answer yes or no if your background will prepare you for the LSAT or not, but realize that, unlike medical school, law school doesn't demand a certain background for 1L students, so in theory, any one with any sort of background is just as prepared as the next person. I have friends who scored high with English backgrounds, engineering backgrounds, and poli sci backgrounds. I have also had friends with the same backgrounds score very low. It's all about practicing the questions over and over again and getting a feel for the test itself. And remember, although they say the LSAT is a good indicator of how you will do in your first year of law school, for the most part that's a load of crap. I didn't do as well as I would have liked, but hit the top 10% in my 1L year. Now I am currently studying for the bar examination, and it makes the LSAT looks like child's play haha. Good luck with your future!