Off topic:Extract the columns containg file 1 element in file 2

Question

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I have 2 files-

File 1-

MU1234
MU1522
MU1856
MU3615

File 2-

MU1234  MU3615  MU1777  MU1522  MU1234  MU1856
1          0      1        1       1      1
0          0      1        1       0      1
0          1      1        1       0      1
1          1      1        1       1      1
0          1      0        1       0      0
1          0      0        0       1      0

I want to extract those column of file 2 if file 1 elements are present in file 2.

Expected output-

MU1234  MU1522  MU1856  MU3615
1           1       1      0
0           1       1      0
0           1       1      1
1           1       1      1
0           1       0      1
1           0       0      0