SQL Server 2008 :: Changing The Clustered Index?

After reading some comments here I decided to look at tables to see if any had a clustered index that was a unique identifier. Yep. So if I have a table with a unique identifier as the primary key/clustered index and an identity column that is indexed, I would like to make the identity a clustered index (maybe even the primary key) and make the unique identifier a unique non-clustered index (not the primary key).

Does this sound reasonable?If I do this will I need to drop and recreate the other indexes? Or maybe just rebuild the other indexes?

Currently:

CREATE TABLE Payments (
IDX INT IDENTITY(1,1) NOT NULL,
GUID UNIQUEIDENTIFIER NOT NULL DEFAULT(NEWID()),
.....

-- many other columns

);
GO
ALTER TABLE [dbo].[PAYMENTS] ADD CONSTRAINT [PK_PAYMENTS_GID] PRIMARY KEY CLUSTERED ([GUID] ASC);
GO
CREATE NONCLUSTERED INDEX [IX_Payments_ID] ON [dbo].[PAYMENTS] ([IDX] ASC);
GO

Would like:

ALTER TABLE [dbo].[PAYMENTS] ADD CONSTRAINT [PK_PAYMENTS_IDX] PRIMARY KEY CLUSTERED (IDX ASC);
GO
CREATE UNIQUE NONCLUSTERED INDEX [IX_Payments_GUID] ON [dbo].[PAYMENTS] (GUID ASC);
GO