SQLlite has only one built-in collation (Binary), 'nocase' just makes the binary collation case-insensitive. SQL Server has collations for many different alphabets, most of them in both versions (CI - case insensitive and CS - case sensitive). It's not a great idea to mix collations in SQL Server, as this is prone to errors due to implicit conversion in many operations (e.g. join, union, etc).
What you can do is check the collation in your databases to make sure is case insensitive:
SELECT name, collation_name FROM sys.databases
is likely that this query returns: SQL_Latin1_General_CP1_CI_AS (US English case insensitive) but you just need to make sure it shows something like ...CI...