Can you give us some details about the "other radios"?
Motorola uses a non-standard reverse burst on their CTCSS. It won't cooperate well with some other brands, and will give you the static crash after a transmission. There's a way you can go into the settings on the TK-8180 and change the "QT reverse burst phase" (QT is Kenwood's abbreviation for Quiet Tone, their name for CTCSS). It'll give you the option of +180º which is the Kenwood standard, and -120º or +120º, one of those is what Motorola uses.
It requires running the KPG-89 software in "engineering" mode, and that requires activation with a specific key.
I'm not going to provide the info on how to put KPG software into Engineering mode, but if you were to search on that, chances are you'd find some useful info.
Just be aware, the Engineering functions on the software can allow you to mess some things up, so as always, save your radio configuration before changing anything.