Isolation transformers will not prevent a shock if you get your fingers across the secondary. Remember, they have to provide significant power to the isolated load. Get stupid and put your fingers in the wrong place and you will get a significant shock. They will prevent the most common shock hazard, that of getting between a hot lead and anything that is grounded either electrical or otherwise because of the neutral to ground connection in all mains lines.
It is interesting to note that the mains system can be refered to as an unbalanced supply similar to an unbalanced audio circuit. In the early days, the mains lines were balanced the same as a balanced audio circuit. There was no connection to earth ground for the "signal" and the two or more "hot" lines were floating. That worked OK in the beginning until someone figured out that lightning was hitting the power lines and with no utility supplied connection to ground, the lightening usually traveled down the line until it found something like a washing machine where it jumped to ground. After a significant number of houses were burned down this way they changed to an unbalalced design where a "neutral" wire was added and connect to ground for safety. Then lightning strikes had a path to ground through the utility equipment instead of your house. As mentioned before, neutrals also act as a balancing element in split phase configurations.
As far as using a balanced transformer for noise reduction, some of them will reduce noise to a minor degree, but a good noise filter will reduce the high frequency noise far more with less power reduction and for far less money. If you are worried about hot line to ground safety, an isolation transformer is the solution. If line noise is the primary concern, a noise filter Here ae a cpouple of links you might find interesting:
http://www.te.com/usa-en/products/emi-f ... lters.htmlhttps://product.tdk.com/en/products/emc ... uct_08.pdfhttps://www.onfilter.com/ac-power-line-emi-filtersI have sucessfully used the Corcom filters in power supplies that I have built. Here is a photo of a 20 amp version. Note that it hase two common mode chokes, four capacitors and a resistor inside the shielded case that is like a small brick. It will blow away any isolation transformer I have ever seen as far as noise but provides no additional safety for line to ground shocks.