Ghost in the Machine

Our garage door opener recently went kaput, so we picked up another one and opted for the professional installation. Aside from a shipping hiccup, the installation went smoothly. Once we got our new opener (which is ninja quiet), things started acting up.
The new opener does a lot of cool things like the standard opens up if the beam is crossed, turns the light on if the beam is crossed, has a thermometer on the control button, has battery backup (in case the power goes out), etc... The only problem is that the signals for the opener to communicate with its various parts is on the same frequency as several other appliances at our house. Here is a list of what else has been affected by our new opener.

• Downstairs TV - Randomly switches to the satalite input while playing Xbox (annoying!)
• Downstairs light - turns on the light in the middle of the night
• Standalone heaters - cranks up the heat, causing us to check on the baby's room often (went in there the other day and it was 84!!!)
• Upstairs TV - randomly turns off
• Xbox 360 * - Save file for Call of Duty disappeared (don't know if this was just a coincidence)

It was annoying enough that our heaters and TV were on the same frequency (when you turned the volume up or down the heater would go up a degree every time you pushed the button), now we have to deal with the other anomalies. As soon as it starts unlocking doors or vomit split pea soup we're taking it back!