I can't tell from their website what database system they are using to store and manage the data, but you might also check (might have to check with tech support if y'all have support active on it) and see if there is an ODBC driver for their database (or if they're using a common database format that you should already have a pre-loaded ODBC driver for). If there is, then you could also just access the data directly by adding a OLD DB connection. You have to go into ArcCatalog's customize toolbars menu and find "Add OLD DB" connection and add it to a toolbar (I don't think it's there by default any more at 10.0, I know they removed it at 10.1). Anyway, if you do that you should be able to use that to add an ODBC connection directly into the database and allow you to work with it within ArcGIS desktop as another set of stand alone tables (though you likely won't be able to edit that table). You can get some more info about that option here http://help.arcgis.com/en/arcgisdesktop/10.0/help/index.html#/Adding_OLE_DB_connections/006m0000006p000000/ Again, I don't know your software in particular, but I've used this method to connect to other external databases from within ArcGIS desktop quite successfully on multiple occasions.
Another option would be to look into using a query layer in ArcGIS Desktop (more info available at http://help.arcgis.com/en/arcgisdesktop/10.0/help/index.html#//00s50000000n000000) if that is even an option with your software/database you are trying to access. I've not used this much personally, so I don't know enough to recommend for or against it.
What it comes down to really though is, you either have to do duplicate in-put. You can look into exporting the data (try using it's report builder and create your own report that includes the data you need as comma separated data that you can just open up as a CSV). Or you can see if their database/software allows external access to the data and use one of the above listed methods to get access to that data directly.
I hope that helps and at least gives you some starting points.