Flying IB VCE to MAD and then MAD to MIA. T4 to T4S.

Is 2hr 15 min connection time do-able ?

J class, HBO, Same ticket.

is it a train?, bus? walking? between terminals? What’s the fastest way?
Is there any Fast track security?
Do we have to go through any passport control?
Do we have to check in again at Iberia T4S ?

Thanks for any help.