We setup two Cisco ASRs as edge routers, each with a connection to a unique upstream ISP. Both routers are advertising the same IPv4 /24 prefix to their ISP via BGP, and both are connected to the same LAN. No further configuration has been done.
It seems to be working fine right now, although the routers have different IPs on the IPv4 network, e.g. R1 is 1.2.3.1 and R2 is 1.2.3.2. I believe this will cause problems when 1.2.3.1 is down, and hosts inside the network are trying to go out through the /24's default gateway, which will always be 1.2.3.1 and never 1.2.3.2.
The goal of having two routers and two ISPs is to achieve redundancy for both incoming and outgoing traffic, in case one router or ISP fails.
Does VRRP or HSRP apply to this scenario? Is iBGP between the routers required to set them up? Can incoming/outgoing redundancy be achieved without one of those protocols?