Is there a way to stop “Ctrl+C” from closing a tab when running Git Bash in Console2?

Try the following

1. "cmd.exe /c" in your command is superfluous. Remove it completely.
2. Update to the latest git-for-windows. It has git-cmd.exe wrapper. To run it properly there are switches, something like "git-cmd.exe --cmd=/use/bin/sh.exe"
   3. Not sure about Console... Check your associated action for Ctrl+C hotkey. It may be configured improperly.
3. Why do not give a try to ConEmu?

This worked for me:

Shell: C:\Windows\SysWOW64\cmd.exe /c "C:\Program Files\Git\usr\bin\bash.exe" --login -i

The bash.exe inside \Git\usr\bin seems to handle Ctrl-C normally.

*64bit Win7 using Git for Windows 2.6.1