There should be no incompatibility, they do different things.
The job of a firewall is to block unauthorised outbound connections or challenge changed processes, when the firewall still blocks when you have clicked allow, delete the entry completely and that will force the firewall to ask permission again.
All that said I wouldn't use Sygate, it is old and unsupported so isn't being developed and when effectively dropped had some vulnerabilities. So I too would suggest looking at another firewall which is still supported and being developed.