Automatic fields for a JSON input?

I'm feeding JSON files to logstash from filebeat. Logstash is set to output JSON to ElasticSearch.

However, my JSON key-value pairs all show up as a giant clump within the "message" field. I believe ElasticSearch is designed to work with JSON files, so how can I have fields be automatically generated from the keys in my JSON?

For example this is what filebeat is outputting to logstash:

2016-08-02T14:53:58-05:00 DBG  Publish: {
  "@timestamp": "2016-08-02T19:53:51.247Z",
  "beat": {
    "hostname": "USAUSWNCN094TTP",
    "name": "USAUSWNCN094TTP"
  "count": 1,
  "fields": null,
  "input_type": "log",
  "message": "{\"LeadId\":22472,\"LeadGuid\":\"E1EB5EA4-E57F-41F0-AD95-FC215E2D8399\",\"CustomerFirstName\":\"NYLA\",\"CustomerCity\":\"atlanta\",\"CustomerState\":\"GA\",\"CustomerPostalCode\":\"21532\",\"CustomerCountryCode\":\"US\",\"CustomerLanguageCode\":\"en-us\",\"HasFilledOutAccessoryCoupon\":false,\"RequestedDealerContactAboutTrade\":false,\"HasFilledOutTradeInIncentiveCoupon\":false,\"HasAcknowledgedPrivacyPolicy\":true,\"HasAQuestionForDealer\":false,\"HasSelectedFandI\":true,\"HasSelectedAccessories\":true,\"HasGmRewardsCard\":false,\"HasSubmittedToDealer\":true,\"HasSubmittedCreditApplication\":false ...

However, the JSON file I am feeding in starts with the LeadId key-value pair. I don't want it all clumped up inside "message" because then I can't filter adequately using kibana after it gets sent to elastic.

Any ideas?

Can you share a sample of the original file?