Hi,
I am not an SSIS expert, so there may be more elegant ways of doing this, but if you use the stored procedure to check out a number of keys, those identities will be taken and will not overlap even if several processes call the procedure simultaneously.
The risk with this approach is that you may be left with gaps in your anchor identity number series if your loading should fail after the check-out and you roll back. This is due to the behaviour of identity columns in SQL Server.
Another, but slower, way is to use the insert trigger on the latest view instead. It should be transaction safe.