[His family and professional life have made him uniquely able [to write
novels with a family setting [which can absorb the conflict between
past and present, tradition and novelty, good and evil, common beliefs
and the idea of the modern family today]]]
In the simplest analysis, there is one main clause (the sentence as a whole) and two subordinate clauses, i.e. the infinitival clause “to write novels …”, and the relative clause “which can absorb …”. Brackets surround the clauses.
In more advanced grammar, there are two further subordinate clauses, i.e. the "made him uniquely ..." clause, which is complement of "have", and the "absorb the conflict ..." clause, which is complement of "can".
[His family and professional life have [made him uniquely able [to write novels with a family setting [which can [absorb the conflict between past and present, tradition and novelty, good and evil, common beliefs and the idea of the modern family today]]]]].