Yes it will, you pistol comes with the necessary adapter plate for this optic.
Unfortunately, the Noblex-Docter Optics Sight C Red Dot Sight is no longer available. If you are looking for an optic with the same mounting footprint, I would recommend the Vortex Viper. As for mounting the Vortex Viper to your pistols, you would need an adapter plate for both your Taurus and M&P. The adapter plates needed will be linked below:
https://www.opticsplanet.com/evolution-gun-works-vortex-viper-venom-fits-burris-fastfire-and-docter-1-811-in.html
https://www.opticsplanet.com/evolution-gun-works-vortex-viper-venom-fits-burris-fastfire-and-docter-1-811-in.html
Yes, it would.
Yes, however Noblex-Docter recommends this version instead for pistol slides: https://www.opticsplanet.com/noblex-docter-optics-sight-iii-red-dot-sight.html
This will fit the Glock MOS slides, however this is Noblex-Docter's pistol slide optic: https://www.opticsplanet.com/noblex-docter-optics-sight-iii-red-dot-sight.html