I have never personally used Cisco Umbrella, but should be able to so via the dns-proxy feature. There the SRX acts as a local resolver with a set of predefined forwarders. These forwarders can just be the Cisco Umbrella servers.
Example below where the SRX listens on irb.10 and forwards all requests to 1.0.0.1+1.1.1.1.
Note: System name-server should also be set to the correct ones.
user@srx# show system services dns dns-proxy
interface {
irb.10;
}
view internal {
match-clients 10.0.0.0/8;
domain * {
forwarders {
1.1.1.1;
1.0.0.1;
}
}
}