Financial engineering is usually concerned with building and valuing pointless derivatives.
In most cases, the derivative will pay equity-like returns with low volatility or income (stupid financial advisers go nuts for both). Invariably, these products self-destruct in a crisis (when the lads are off in their Ferraris) due to some bizarre optionality that is built in.
The other side is valuation which is about employing a combination of inapplicable maths with a wilful ignorance of common sense (usually to satisfy regulators who will approve your bullshit and then come to work with you next year to make up more nonsense).
The first task is dressing the pig up. The second task is inventing a mathematical formula that explains why the pig is actually a human. French banks are pretty much ground zero for this (I have no idea why).
Also, nothing is particularly wrong with American business. Most firms are not involved in anything like this, and when they do get involved it is rarely a case of them deciding to do so. They do so because they feel they have no other choice (i.e. engineering firms provide finance so that people buy their stuff, GE Capital existed because of the torrent of cheap money that flooded the market in the 2000s). The general move to greater financial efficiency, however, has been a massive boon (look at places that haven't done that...Japan is a great example, you want to work 12 hours for a day for like $35k/year?).