Unless you were to subordinate your 1st lien to the 2nd your foreclosure on the 1st would wipe out the junior liens. You would either get a full payoff or get the property back free of liens with the exception of any tax and/or municipal liens that might have been attached. From my perspective, your two risks are the two separate loans which could potentially leave you in possession of just one of the properties in the event of default and foreclosure, and ICA language which reduces your rights as a 1st position lender to protect your financial position in the property.
If a the 2nd position lender wants an ICA, the motivation is typically to help them protect their investment. 2nd position lenders can protect their interest by foreclosing and, if they are not paid off, either paying off the 1st lien themselves or bringing it current and making the scheduled payments. If the 1st forecloses, they can bid at the sheriff's sale up to the combined amounts due on both 1st and 2nd to ensure they either retain the property or get a full payoff. They can also buy the loan from the 1st lien holder, giving them more control and ability to work something out with the borrower. An ICA which gives them the right to buy the loan with predefined terms within a certain time frame after default and avoid the foreclosure path would not be unreasonable. Again, it boils down to ICA language.