A lot of good advice here and Steve's explanation above is excellent.
I think though for something as important as door locks you would want to get a distribution system made to handle its current needs rather than use combined outputs from a source such as the Elk's distribution unit. Nothing wrong with that methodology mind you, but you would do this in a case where maybe most of your devices were low current and you had one device that exceeded the single output capability.
Since you have four strikes, it may make sense to get a unit with a built in distribution block designed for its current needs. Doing a quick search I found
THESE P3DC units from Automated Outlet.
I also found
THIS four station 12 volt four amp unit with one amp individually fused outputs.
You may want to consider your future needs as well (will you add more strikes? will you obtain security cameras with IR lighting? etc...).
Make sure you use the correct wiring gauge as well. You should size the wiring to the fused capability of the supply. For instance if you have a four amp fuse going to a strike, you would run a gauge of wire that is rated for four amps even though the actual strike will only draw around one amp.
You can always make your own distribution unit as well using in-line fuse holders and screw terminals. It's not nearly as 'neat' as a distribution block though.
Just some thoughts...
