Mapping them wouldn’t be terribly difficult, however your existing events plugin probably wouldn’t be compatible with most of the data that comes along. The custom post Title and Content would probably work, but none of the other attributes would map (event start / end times, event groups, etc).
You can give it a try on a test site by changing this line https://github.com/jaredcobb/ccb-core/blob/1a6e88b47ad7d5293e88bac277e72cbc4e33a602/admin/class-ccb-core-sync.php#L682
to use your plugin’s custom post type name (instead of $this->plugin_name . '-calendar'
and also on this line:
https://github.com/jaredcobb/ccb-core/blob/1a6e88b47ad7d5293e88bac277e72cbc4e33a602/admin/class-ccb-core-sync.php#L698
You may need to comment out any code that tries to set taxonomy terms as well, like this whole range:
https://github.com/jaredcobb/ccb-core/blob/1a6e88b47ad7d5293e88bac277e72cbc4e33a602/admin/class-ccb-core-sync.php#L702-L708
Again, I’d only try this on a development / sandbox site first.