note to OP, if you will have the time to kill on a weekend, both Kendall Square and the MIT campus are pretty quiet. Perhaps it's more fair to term Kendall Square as "dead" and the MIT Campus as "snoring".
While people without MIT ID cards can easily get in and out of the MIT campus buildings (including the Stata Center; note that the first syllable in "Stata" rhymes with "rate") during the week, it's more difficult on weekends. YMMV.