Multiple RAID controllers in a system

I have a T620 PowerEdge server with a PERC S110.  I noticed that PERC S110 is a software based, so am thinking of migrating to PERC H710.  Currently, a RAID 5 array of 4 SATA hard disk drives is implemented using S110. The boot/OS partition is on the RAID array.  Performance is not good, and I am not happy that these drives are SATA drives, and the maximum number of disks you can connect to S110 is 4.

Can I install PERC H710 on the same T620 server with PERC S110?  That is, can the T620 server have two PERCs, and will those PERCs operate normally without conflict?

What I am thinking of doing is installing H710 additionally in the same T620 server with S110, and creating a RAID 5 array of 4 SAS hard disk drives using H710.  So, this T620 server will have one RAID 5 array implemented by S110, and another RAID 5 array implemented by H710.  Then, I will use a disk cloning software (which works inside the Windows) to clone the partitions from the RAID 5 array of S110 to the RAID 5 array of H710.  After that, I will remove S110 from the system.

Will this scenario work?  Has anyone tried this?  Or, is there a better way?  Thanks in advance.