Hi BillC217,
Thank you for reaching out Microsoft Community. We're sorry to know that your home network acts this way when your Surface device is connected.
Have you tried uninstalling/reinstalling the Wi-Fi driver of your Surface Go? When did this happen by the way? Have you done resetting the network on your Surface device? If not kindly follow the steps below to initially troubleshoot this device.
Go to Settings > Network and Internet> Look for Network Reset and complete it. Once your Surface device restarted, open Device Manager > expand Network Adapter > Right-click on the network driver available and select "Properties". Go to Driver and check if rollback driver is not grayed out and if it is not grayed out, kindly rollback the driver and check if this makes any changes after connecting your Surface device to the network again. If it's grayed out, that means that the driver is not the culprit of this issue because there were no recent driver updates specific to Wi-Fi connectivity. So, what I'd like you to do instead is to select uninstall device, leave the box unchecked, just proceed uninstalling the driver and restart your Surface. Once device restarted, go to https://support.microsoft.com/en-us/help/4023482/surface-download-drivers-and-firmware and choose the first msi file, hit Next,run and install and check if this is still going to be take down the entire home network when device is connected to Wi-Fi.
If this helps, feel free to mark this post as an answer. Otherwise, don't hesitate to respond to this thread for further assistance.
Kind Regards,
Crest_Z