According to one of the comments in the winehq-entry (thanks to "JadeFalcon") there is a workaround to get the launcher to run which works for me:
- Start Hawken
- Press the cog at the upper right corner
- A window should open: "Verify not available while launcher busy"
- Wait some time (about a minute)
- Close the window
- A picture in the background should appear
Once this picture appears the launcher shouldn't crash any more. You have to do this steps every time you start Hawken
source: http://appdb.winehq.org/objectManager.php?sClass=version&iId=27253&iTestingId=76891