Hi,
I would imagine you would have to resort to some sort of NAT for all the source hosts/clients that connect to the server.
What I mean you probably have a Static NAT configured for the server on both firewalls. You would then need to configure a Dynamic Policy PAT (or NAT) that would translate any public source IP address to some NAT IP address provided that destination of that traffic was the Static NAT IP address of the server.
This would essentially mean that any connection coming through either firewall would be NATed and the server would essentially see connections coming from that/those NAT IP address(es). This in turn would mean that the server would forward the return traffic through the firewall which owned that NAT IP address. (Provided the routing for those NAT IP address/networks was handled properly)
Other option might be having both ISP links on a single firewall which would mean the server would only have one gateway out of the network and the ASA should enable access TO the servers through either ISP link/interface on the firewall.
But it seems you are using different firewalls.
- Jouni