Hello Scott,
if you have multiple points of mutual redistribution you need to implement routing policies.
A useful tool are route-tags you can mark with a route-tag routes injected into EIGRP from BGP.
route-map BGP-to-eigrp deny 10
match route-tag 5000
route-map BGP-to-EIGRP permit 20
set route-tag 1000
the route-map for EIGRP to BGP will do the opposite
route-map eigrp-to-BGP deny 10
match route-tag 1000
route-map eigrp-to-BGP permit 20
set route-tag 5000
do this on both CE routers using consistent route-tag mappings
router eigrp 1000
red bgp 1000 route-map BGP-to-eigrp
default-metric 10000 1000 1 1 1500
This protects the network during transitions.
Hope to help
Giuseppe