Something like this might suffice:
SELECT
coalesce(T1.[theDate], T2.[theDate], T3.[theDate]) as [Date],
[Other Deposits],
[Sweep Balance],
[Money Market + TIPS]
from
(
SELECT sum([Account Current Balance]) AS 'Other Deposits', [Full Date] as theDate
FROM [FINANCE].[dbo].[BICDATAd]
WHERE [Account Type Code] < '100' AND [Account Type Code] Not like '024' and [Account Type Code] Not Like '031'
GROUP BY [Full Date]
) T1
full outer join
(
SELECT sum([SumOfMARKET_VALUE]) AS 'Sweep Balance', [As Of Date] as theDate
FROM [Finance].[dbo].[SQLFDIC]
GROUP BY [As Of Date]
) T2 on T1.theDate = T2.theDate
full outer join
(
SELECT sum([MARKET_VALUE]) AS 'Money Market + TIPS', [As of Date] as theDate
FROM [FINANCE].[dbo].[SQLFDICpledge]
WHERE (SEC_TYPE LIKE '10%' OR SEC_TYPE LIKE '30%') AND ACCOUNT_NUMBER = '1040004859'
GROUP BY [As of Date]
) T3 on T2.theDate = T3.theDate