Will large inserts crash a 3-node MySQL database cluster?
Some general considerations, first:


MySQL, and I am talking about InnoDB specifically, is optimized for OLTP loads, specially for good performance for point SELECTS and writes. That doesn't mean that you cannot do bulk inserts (I get 600 000 row insertions/second on my desktop-grade SSD), but that has an impact on the performance of other operations, mainly by taking extra locks and extra resources on transaction procesing/index merging/etc.
Large transaction processing overhead exacerbates when distributing those over the network on a tight clustering solution (for a MySQL model). The fact that you have to load synchronously a large number of rows over several nodes usually requires a large amount of memory and makes them a problem for tightly-attached-node solutions such as NDB and Galera.


Now into Galera specifics:


The first limitation that you will face is that by default, ws_max_size_rows is 128K (128 000 rows) and wsrep_max_ws_size is 1GB. Although those values are configurable, the load process will directly fail if the transactions are larger than the values configured.
I wouldn't be surprised that the cluster could crash - You can see an example here that happened during an import- ending up with 2 nodes getting an OOM even if that specific problem was later fixed. Extra memory is needed in order to certify every transaction among all nodes before actually executing it.
If you want the cluster to work adequately, I would recommend loading the files in chunks, using several transactions. There are event tools like [pt-fifo-split][1] that will help you do that. As an alternative, you could load those files individually on each node one at a time while they are temporally desynced.


This is one question that should not be argued about- If you have a production cluster, you should have a test cluster in which you can try your thesis first. Best case scenario, you will get a horrible performance/a deadlock. Normally, you will run out of memory and 1+ nodes will crash, leading to a full cluster crash.

To know more about the reasons behind galera behavior, and how to avoid downtime at the cost of sacrificing performance, you should read: 


Galera flow control in Percona XtraDB Cluster for MySQL
Galera: Excessive memory use on sizable transactions
http://www.percona.com/forums/questions-discussions/percona-xtradb-cluster/10106-xtradb-limitations-wsrep-max-ws-size-and-wsrep-max-ws-rows