They will probably not hire you unless they have legal work that they need done in Bangladesh or the U.K. from a U.S. office.
Admission To The Practice Of Law In The U.S.
A Bachelor of Law, Masters in Law and the Bar (BPTC) from the UK is not a satisfactory credential for employment as a lawyer in the United States. To be employed as a lawyer in the United States, you must be admitted to the practice of law in the U.S. state where you are employed (or in the District of Columbia, if you are employed there).
Ordinarily, admission to the practice of law requires completion of a law degree at an American Bar Association accredited law school followed by a character and fitness background check and passage of the bar exam.
It is plausible that one or more states would waive the law school requirement (in California, law school is not a pre-requisite to taking the bar exam, for example). Some states have exceptions to this requirement specifically aimed at non-U.S. lawyers.
But, you will still need to take a bar exam preparation course which is typically six to eight weeks of full time study (since there are sufficiently significant differences between U.S. and U.K. law that you would probably not be able to pass the bar exam in the U.S. without it), and then pass the bar exam in a state that waived the completion of an ABA accredited law school degree, and then you will still need to complete the character and fitness review (which is very thorough).
You do not need to be a U.S. citizen to practice law in the United States, but character and fitness review would almost certainly take longer. For example, a typical character and fitness review requires you to identify every place you have lived in your adult life and to provide a reference from each, and to list every traffic ticket you have ever been issued with proof that it was paid. These steps would be harder to implement for someone who has lived their entire life outside the U.S.
These steps would typically take several months and would be inconvenient to conduct from outside the U.S.
Of course, if the firm that hired you needed someone to engage in the practice of law in Bangladesh on its behalf, from its U.S. offices, that could be done immediately, if the employer were wiling to secure the proper work visa for you.
However, even if you were qualified, usually employers aren't interested in obtaining a work visa for a foreign lawyer to do U.S. based work, as they have plenty of U.S. based lawyers admitted to the practice of U.S. law from whom they can choose.
Also, many U.S. legal employers disfavor hiring someone with more than three to five years of experience, rather than someone fresh out of law school, because they want to impart to you their corporate culture and to hire someone who is junior to the existing legal employees to do the grunt work.
You could be hired as a paralegal without the relevant credentials, but getting an employer to sponsor a work related visa for you (and obtaining such a visa as an employer) to be a paralegal would be very difficult.