You have to go back to the Stanley Cup era, to find the last time that the Isles beat the Rangers in four consecutive regular season games -- in 1982 they beat the Rangers in five straight games:
23-Jan-82 VsNew York 6 1 W [2nd game of the 15 game winning streak...and my second game with SportsChannel!]
6-Mar-82 Vs New York 6 4 W
29-Mar-82 @ New York 7 3 W
11-Oct-82 @ New York 4 3 W
23-Oct-82 Vs New York 5 2 W
The Isles have opened a season with three straight wins over the Rangers three times....all in the 1970's:
and 1978-79. They'll have a chance to equal that on Tuesday, as well.