That battery can be left on trickle charge forever, which is how a UPS works (or the telephone network for that matter). There is really no need for a fast charge cycle after a power outage unless you get those outages really often. Say you do your calculations and you have 10 hours capacity in the battery. After a 4 hour outage, you are down to 6 hours capacity until it recharges. How likely is it that you would have an outage greater than 6 hours within the next few days?
So use a 14V regulator and any old diode you have around (4000 series will be perfect for this). You will then have 13.3 to 13.5 (depending on load) available for your siren when on house power, and between 12 and 12.2 available on battery (that will ramp down as the battery discharged. The siren will still work even when the battery is almost flat - no need for schottky diodes or other low forward drop devices.
The hexfets will work in that configuration, but you only need one of the 10K resistors to VSS, and I'd be temped to put a resistor in series with the gates in this application. I'd also change the logic so that you can turn both devices on to charge the battery somehow, maybe in some sort of duty cycle to pulse charge... actually, I'd just use the diodes, with the resistor around the second diode, value set to maybe 1K (need to think about it a bit more).
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