Can gliders and powered aircraft co-exist using the same runway?

Long Island Soaring Association has been flying out of Brookhaven (HWV)
for almost 20 years. T/O and landing is from the grass adjacent to the
two 4000' paved runways. Power patterns are left for all. When the
grass is on the right, gliders make a 45 degree entry to a right
pattern. When the grass is on the left, gliders make a crosswind
mid-field entry 1000' AGL to a tight left pattern. This eliminates all
traffic pattern conflicts (as long as the power traffic makes a
standard 45 degree entry.

The glider tow planes make a standard power pattern, then land on the
grass with the gliders.

There is also a banner tow operation, with banner pickups on the
inactive runway. The banner planes take off from the active runway,
then come around to pickup from the inactive, and then turn to join the
upwind departure from the active again. This is not a big problem.

The main conflict is with airplanes taxiing to the the active runway.
The gliders and tow planes have to cross the taxiway extension on
approach to the grass runway. One time the tow plane dragged the rope
across a Cessna's wing.