i would add that for animals the instinctive part of reproduction is the sex urge and having offspring is the unintended consequence of that urge. when animals reproduce, it is not because they want offspring, its becuase they are horny as hell. even those people who don't want kids still act on the sex urge as it is much more primal and hard to resist. very few people remain abstinent in life. for most of those who do practice abstinence, it comes with great restraint.
so, to answer the op's question, i don't think there is anything instinctual about wanting offspring. what is instinctual is having sex and once the offspring are there, most animals have nurturing instincts.
Edit: looks like i am saying the same thing as bigdog