In your scenario, the packets going to ASA2 will be dropped as by default as the first packet will be a SYN packet. Under ASP drop, you should see this as "First TCP packet not SYN (tcp-not-syn)".
Now an easy way to get past this is to have TCP state bypass running on ASA2. This essentially establishes the connection on the new ASA even if it is not a SYN packet and allows the traffic through. More info on how this works is here:
http://www.cisco.com/c/en/us/support/docs/security/asa-5500-x-series-next-generation-firewalls/118995-configure-asa-00.html#anc9