(DNS Question) Does This Work?

I have a cluster of web servers using Linux Virtual Server. However,
there is still a single point of failure: the load-balancer.

Could I set my domain's primary DNS server to the address of the first
load-balancer (let's call it HAMLET), which contains a master DNS
record that points www.example.com to HAMLET's IP address, and my
domain's second DNS server to the address of the second load-balancer
(let's call it MACBETH), which contains a master DNS record that
points www.example.com to MACBETH's IP address?

I know this will work as long as the two records don't try to sync
with one another. If they are both master records will they try to
sync?

Sean Callaway
Sean Callaway Technologies
www.scallaway.com