Car engines can safely burn 2-stroke mix when it's added in small amounts. Add it to a full tank in batches of just a quart at a time and you'll be fine. Just don't dump the whole container in at once.
I can't imagine the reason, but NEVER do that (unless your car has a 2-stroke engine, which I doubt) or you might seriously damage the converter and probably your on-biard diagnostics might come up with an alarm or two.
If you have a modern car that is equipped with a catalytic converter, then yes, you COULD harm your catalytic converter by dumping gas mixed with two-stroke oil into your tank. Find some other use for this gas & oil mixture.
nothing will happen you mite get the odd 2 stroke oil smell