The answer is "no."  There isn't an ABA law school that will accept you without a B.A. degree at the time of entry into law school.  Some schools will accept you while you are a senior with the expectation that you will have earned the BA prior to starting law school by finished up law credits during the summer.  But schools normally do that only for very talented students with very high GPAs. Your best option is to finish your BA and apply.  A non ABA approved law school woud only be a waste of money because no one will hire you. 

The LL.M. is the Master at Law degree.  The JSD or SJD, depending on which school attended, is the Doctor of Juridical Science.  It is the highest degree offered in the legal profession.  Z

No, most LL.Ms dont aspire to obtain the JSD.  In fact, less than 5% of all LL.M's shoot for the JSD. 

As far as lar firms are concerned, prestige and qualifications will determine salary.  If you have a LL.M from Columbia, which is considered as having the best LL.M. program, or Harvard, NYU or Yale, your LL.M should make a difference in your salary.  Also, if you earned a LL.M from a less prestigious school in a complex field like tax or IP, then it should make a difference. 

LL.Ms are mostly useful for future law professors, specialty law practitioners, and foreign trained lawyers.