Many American parents encourage their sons to play football to keep them away from drugs.

Literal

America's parents [among-の中には], son [object-を] drugs [from-に] not-approach [for-ために] football [object-を] recommend [ones-もの] [subject-が] many.

A complex sentence with nested purpose clauses. 息子を麻薬に近づけない is causative: 'not let their sons get close to drugs.' ために marks the purpose. フットボールを勧める is 'to recommend football.' ~ものが多い means 'there are many who...' The の中には sets up the topic: 'among American parents.'