Hi,
If all the VPN parameters are the same, the Site-to-Site VPN tunnel should establish between the Linksys and the ASA.
A common error, is that phase 2 PFS is enabled by default on the Linksys (usually disabled on the ASA).
Check the status of the tunnel on the ASA for this tunnel when trying to establish:
Phase 1 - sh cry isa sa
Phase 2 - sh cry ipse sa
Federico.