Speed of light = c = 3x108 m/s (approximately)
Nothing moves faster than light in the universe except the accelerating expansion of space itself. Considering average diameter of neutron star, time between a full rotation and distance between them, their speed can be considered:
circumference at beginning of the gif = 2 x pi x r = 2 x 3.14 x 50km = 314km
speed at the beginning of the gif = 314km/2s = 157km/s or 1.57x105
circumference towards end of the gif = 2 x pi x r = 2 x 3.14 x 10km = 62.8km
speed towards end of gif = 62.8km/0.157s = 400km/s or 4x105
So, their speeds go from about 0.05% the speed of light to 0.13% the speed of light before they joined together in the gif.
TLDR; Speed of light is more than 98.5% faster than these two neutron stars the moment before collision.