How do I get my garage door open without prying it with a hanger?
If you do not have an entrance door to your garage (either to the interior of your house, or the exterior), there should be a key-based garage door release on the outside of your garage. You would obviously need the key for this, but it would release the garage door without resorting to prying it with a hanger or another similar hack.  

It is also very typical to have a hardwired button available inside your house or next to an entrance door of the garage.

If not I doubt you can easily hotwire the control panel and instead would need to figure out how to pull the release cable.  Lucky for you there are a ton of YouTube videos on how to do this. Here's one.