Assign a consistent random number to id in SAS across datasets

I have two datasets data1 and data2 with an id column. I want to assign a random id to each id, but this random number needs to be consistent across datasets. (rand_id for id=1 must be the same in both datasets). The objective is to get:

id	rand_id
1	0.4212
2	0.5124
3	0.1231

id	rand_id
1	0.4212
3	0.1231
2	0.5124
4	0.9102

I thought

DATA data1;
SET data1;
CALL STREAMINIT(id);
rand_id=RAND('uniform');
RUN;

and the same for data2 would do the job, but it does not. It just takes as seed the first id and generates a sequence of random numbers. From the STREAMINIT documentation, it seems it's only called once per data setp. I'd like to be called it in every row. Is this possible?