Tuning query with multiple joins
Give this a try
You have some (potentially) misplaced join conditions  

SELECT        P.Id id0,
              P.ProgramId ProgramId1,
              P.ProgramName ProgramName2,
              P.ProgramLevel ProgramLevel3,
              P.Department Department4,
              P.Track Track5,
              P.AcademicYear AcademicYear6,
              P.StartTerm StartTerm7,
              P.Delivery Delivery8,
              P.Fee Fee9,
              P.City City10,
              P.STATE State11,
              P.StartDate StartDate12,
              P.Deadline Deadline13,
              P.DeadlineDisplay DeadlineDisplay14,
              P.ProgramType ProgramType15,
              O.Id as OrganizationId16,
              O.NAME OrganizationName17,
              P.ApplicationType ApplicationType18,
              P.Concentration Concentration19,
              P.ZipCode ZipCode20,
              P.Campus Campus21,
              P.WADisplayName WADisplayName22,
              P.UpdatedDate updateDate23,
              AF.Id InstanceId24,
              RD.Id stateId33
INTO #TempGetFullProgramSelectionInfo            
FROM       UNICAS_CONFIG..Organization O                 
INNER JOIN UNICAS_CONFIG..AcademicInstitution AI
            ON AI.id = O.academicInstitutionid        
INNER JOIN unicas_config..applicationForm AF
            ON AF.casid = AI.casid  
           AND AF.Id = 6286   
INNER JOIN UNICAS_CONFIG..AssociationOrg asOrg
            ON asOrg.FormId         = AF.id
           and asOrg.OrganizationId = O.id
INNER JOIN UNICAS_CONFIG..Program P
            ON P.AssociationOrgId = asOrg.Id 
INNER JOIN unicas_config..ReferenceData RD 
            ON RD.ValueId = P.STATE  
           AND RD.ValueAbbr ='US'
INNER JOIN unicas_config..ReferenceDataSet RS  
            ON RS.SetId = RD.ReferenceSetId   
           AND RS.NAME = 'LK_States'


If #temp has indexes then sort on the one that makes the most sense  

If that does not improve response then just force a hash join on all
Still use the select in my answer - add the HASH to the query above  

INNER HASH JOIN