Q: siri cuts me off when trying to use microphone while playing 3rd party music apps thru bluetooth

Hello there, mciverju.

The following Knowledge Base article offers up some great recommendations for troubleshooting issues with Siri:

iOS: Troubleshooting Siri

http://support.apple.com/kb/ts4079

Particularly useful in your instance is the following section and linked articles:

Using Siri with audio accessories

• Siri will work with many audio accessories, including wired and wireless headsets and car stereos.
• Find information about troubleshooting Bluetooth headsets and headphones.
• Find information about troubleshooting car stereo connections.
• If you are using an audio device that connects using the Dock Connector, Siri will not route through that device. You will need to continue to use your device, wired headset, or Bluetooth headset to interact with Siri.
• If you are using your iOS device with a device that uses a Remote User Interface, ensure that you control your iOS device using the car stereo or other device. Attempting to control your iOS device directly through either touchscreen, Siri, or Voice Control won't work.

Additionally, you may want to troubleshoot the apps individually as well, for that, this article is a great resource:

iOS: An app you installed unexpectedly quits, stops responding, or won’t open

http://support.apple.com/kb/ts1702

Thanks for reaching out to Apple Support Communities.

Cheers,

Pedro.