It would be incredibly nice if there was a home security system that was actually difficult to defeat.
The existing ones are susceptible to denial-of-service attacks against their communications infrastructure (cutting the phone line, jamming their GSM, jamming the communications between the sensors and the base station.) It would be nice if they were able to fall back to redundant communication lines.
For instance, in my city, there is an ISP which provides service over point-to-point microwave. If the phone line was cut, and the cell line was jammed, this would still be available to report break ins.
Having multiple redundant means of communication also opens the possibility of reporting a break in if communication with the base station is lost. With just one line, the rate of false alarms would probably make this impractical. But with three, you can be pretty sure that someone is deliberately disabling your device.
One final note; whatever you end up doing, get another company to audit your product before it comes to market. Too few companies actually do this, but it is quite necessary. By their very nature, mistakes tend to occur in places you (/your engineers) wouldn't think to look.