It's not clear what you mean by your application breaking. But if you want to disable weak ciphers, the simplest option is to use the IIS Crypto tool:
Nartac Software - IIS Crypto
You'll probably need to reboot your server after making changes.
You'll also need to make sure your client has at least one compatible cipher suite enabled. You can use an online scanner such as Qualys SSL Labs
] to check for compatibility with most clients.