You can use GROUPING SETS
to get the totals row:
select isnull(diagnosis, 'Total') Diagnosis,
sum([Drug1]) Drug1, sum([Drug2]) Drug2,
sum([Drug3]) Drug3, sum([Drug4]) Drug4,
sum([Drug5]) Drug5,
sum([Drug1] + [Drug2] + [Drug3] + [Drug4] + [Drug5]) as [Total]
from
(
Select [id], [drug], [Diagnosis]
from DrugDiagnosis
) as ptp
pivot
(
count(id)
for drug in ([Drug1], [Drug2], [Drug3], [Drug4], [Drug5])
) as PivotTable
group by grouping sets((diagnosis), ());