I've experienced the situation a few times where select * from viewA runs very fast, select * from viewB is very fast but when joined together, they are very slow (like 10 times the execution time).
I also had today the scenario where joining an old view was fine but joining a new one, which was not only virtually identical but with less columns and one less join, took 30 minutes instead of 10 seconds!
I have experienced minor improvements by changing join orders and trying to use more efficient WHERE clauses, avoiding SELECT in the WHERE clause etc but this was a whole other league of performance issue. When you only join two views, you don't have many options but I tried simplifying the ON clause (no different), removed the GROUP BY (no difference) remove the column which was summing an amount (no difference) and then I realised the only thing remaining was the JOIN. I changed this from INNER JOIN to LEFT OUTER JOIN and all of a sudden, I was back up and running.
As it happens, there are no rows in view 1 which do not appear in view 2 so the INNER JOIN isn't actually required here but I was still surprised. I looked into a few web posts and the best answer was, "an inner join is an implicit outer join + where column is not null" but I don't actually believe this and still wouldn't expect the problem in my 500 row dataset but obviously somehow it is a problem (although this is by FAR the worst case of it I have ever seen).