GPS 1 PPS Aligment Clock Signal Generator
I have done this sort of thing several times in the past for several embedded systems, and it really isn't all that difficult. I typically use a COTS VCXO and an FPGA to implement the logic &mdash; nothing exotic.

First of all, what you really want to do is generate a "replica" 1 pps pulse using your 24.576 MHz clock. Then, you use feedback that varies the VCXO control voltage to phase-align this pulse with the reference pulse coming from the GPS receiver, which also means that your VCXO is then frequency-locked to the GPS timebase.

Use the replica pulse to drive the rest of your logic, rather than the reference pulse. The former, by definition, will be precisely phase-aligned with your local clock.

Just how precisely you need the rising edges of the two pulses to be aligned will ultimately determine how difficult this will be. Most GPS receivers provide a pulse that has on the order of &plusmn;50 ns error (jitter). Getting your replica pulse down to a similar level is really not all that difficult.