May I know your country please? It would help me to give you a better reply.
personally I also don't like to provide my ID to a random stranger who is trading on Localbitcoins or Paxful or any other similar platform, especially for a small value trade like $150 or so! I would simply overlook any trader who would ask for my ID for such a low value trade because I have lots of options to bypass such demand. If not, I would definitely like to blur all my details and keep the name intact if it suffices the requirement of the trader!
So looking at the trade amount you are having, I would suggest you to drop the idea of collecting ID from people. It would certainly give your offers more attraction and probably it will lead to more sales and more profit. If you are planning to extend your trade volume to $700+, you may re-think of asking IDs, but it literally doesn't make sense at this amount!