I am scared that indian developers will take our jobs
This attitude is a product of fear mongering. Good developers are in extremely high demand and have been for a long time. If you are a good developer, your job can never be replaced by some shitty Indian developer hacking away in a PHP sweatshop.
So is there demand for more software engineers/comp scientist
This question doesn't make sense. "Computer scientist" isn't a job title (though some CS researchers may call themselves computer scientists). Most people who study computer science go on to become software engineers. CS and SE degrees will both get you to the same place, though they differ slightly in course content.
Oh and to answer the actual question, they're both excellent unis and I wouldn't say that one is objectively worse than the other. I think UNSW usually ranks slightly higher in the popular CS education rankings, but e.g. if you wanted to study NLP USyd would be the obvious choice.