Were they friendly neighbors or bitter rivals?
Regarding religion, did they have a relationship similar to the Roman and Egyptian relationship, where they were tolerant of their differing pantheons?
Not to discourage any new answers, but here is a profound answer by /u/400-rabbits to the question "Was there communication between Andean civilizations and Mesoamerican ones?". You might also find this great contribution by /u/reedstilt informative, who answered to "Did the Iroquois know of the Aztec in pre columbian America?".
TL;DR (pretty much): There almost certainly was no direct contact between those civilizations, but there were extensive trade networks through which goods (and ultimately, ideas) were exchanged.