The attempt to replicate a sql-scheme in Qlik is IMO not sensible because Qlik used an associative data-model and not a relational one. Therefore I suggest to develop a real Qlik data-model - ideally as a star-scheme by merging (joining/mapping/concatenating) all facts into a single table with n dimension-tables. A good starting point could you find here:
I don't know if the wizards in Sense does support this feature. But I have my doubts that you could transfer it completely without any manually touching the data-manager and/or the script. The associations in Qlik are made per identically field-names - (ideally) only one between two tables and (important) without creating a circular loo - so you may need to rename some of the fields to get the right associations.
By one fact-table and 5 dimension-tables it's not much work and could be easily done during the validation of the data.
@Lutter it is not possible to pull the SQL Server data model into Qlik. Qlik uses an OLEDB client and SQL which cannot address the modelling objects. Qlik's logic for linking tables is purely on identically named fields, so you will need to alias your joining fields as you load them in.