You can try using Salesforce connect and Heroku Connect.
Salesforce connect - It will help you to connect to various data sources and then it will convert those data sources into an SObject.
Heroku Connect - It will help you to connect your Heroku data source with Salesforce Object. Whereas, the sync may not be an immediate process, but will little customizations it will become "Live" as possible.
I hope this will help.
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