The easiest way I can think of is to key by id1
as well.
eg
setkey(DT1, id2,id1)
DT2[, id1 := 3]
setkey(DT2, id2, id1)
# use i.v1 to reference v1 from the i component
DT1[DT2, v1 := i.v1 ]
DT1
id1 id2 v1
1: 2 e 0.7383247
2: 1 g 1.5952808
3: 2 j 0.3295078
4: 3 n 0.0000000
5: 3 s 0.5757814
6: 1 u 0.4874291