I would connect the SSG and SRX as follows.
SRX WAN to the upstream internet on their own address with the default route and the like setup.
Create a routed link /31 or /30 between the SSG and the SRX for traffic to flow between the two firewalls.
Set a route on the SRX for all the internal subnets to the SSG interface.
The migration would move the VPN tunnels one at a time over to the SRX.
As the branch/partner subnet through the VPN is moved a route is added to the SSG to point to the SRX
When all the VPN are moved then the internal subnets can also swing over one at a time.
By using the routed link instead of dual gateways you insure there will never be asymmetrical traffic. and you don't have to change gateway addresses or make special NAT rules just for the transition.