It has risen for both parties. For example, in 1979, 1.7% of people rated the Democrats at zero and 4.2% rated the Republicans at zero; in 2016 the corresponding figures were 11.2% and 11.4%. I also calculated the individual-level correlation between ratings of the Democratic and Republican parties--that is, the extent to which people who felt favorably towards one party felt unfavorably towards the other.
You can combine the three measures (with a principal components analysis) to get a general measure of partisan polarization.
There is an upward trend, and it seems to have become stronger in the 21st century. An interesting thing is that it doesn't track trust in government (discussed in this post) all that closely. However, confidence in many institutions has followed a general downward trend (this post). Of course, a lot of things have followed a trend since the 1970s, but it seems plausible in principle that polarization could cause or reflect declining confidence in institutions.