We currently have integrations with Salesforce, Hubspot, Gmail, Google Spreadsheets, Zendesk, Mailchimp, Stripe, and CallRail.
If there's another integration you need, feel free to email us: hello at empiredata dot co
[edit: I have added the current and upcoming integrations on the home page: http://empiredata.co/#supported-platforms]
I'll reach out to you over email because I'm curious about your intercom.io use-case.
I'm also going to try it on our webapp, so we can dogfood it.