To answer this question we draw an analogy to medicine - if you have a toothache and a foot problem, do you look for a dentist who is also a podiatrist or do you talk to two separate specialists? The same works for taxes. As long as your US tax specialist is well versed in expat returns - they will certainly know everything about your local country issues and how they should be integrated in your US tax return.
Let's look at the UK as an example. While you can probably find one or two firms that specialize in dual-filing of UK&US taxes, the fees they charge will likely border between obscene and ridiculous. The reason is simple - while there are thousands of Americans in the UK who need to file taxes in both countries, the number of competent tax preparers who can do both is minuscule. And (their marketing spiel notwithstanding) truth be told, there is nothing special about UK (or any other foreign country) as far as IRS is concerned. All taxes paid abroad are counted the same whether they were paid in the UK or Ukraine. The same works for National Insurance, ISA contributions, QROPS, council tax or anything else that you think is unique to the UK - it is not.
The only real upside from hiring one accountant to deal with both tax systems is reduced communication. However - do you want to pay three or four times for the same service just to have to deal with one professional instead of two? This is certainly a personal decision - but make the determination knowing exactly why you make the choice.