Muscala finished with 12 points and 10 boards while Bryan Johnson tallied 17 points, eight rebounds and six assists for the Bison (20-4, 7-1 Patriot League), who won despite not scoring a basket in the final two minutes.
Army (10-13, 3-5) trailed by as much as seven, 35-28, in the second half before cutting the deficit to 52-50 with 4:13 left. But Ayers knocked down a 3-pointer and Johnson converted a trey and a jumper on back-to-back possessions to put Bucknell ahead 60-54.
The Bison went scoreless from that point as Army drew to within two, 60-58, with 1:57 remaining but missed three jumpers in the final minute as Bucknell held on.
Ted Kapita was the top-rated recruit from West Virginia in the class of 2015 and recently played at DME Academy in Florida.
With the Suns drafting Tyler Ulis, they now have five guards on their roster who attended Kentucky.
NBA fans will be looking forward to their newest players making plays like this next season.